{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "from tqdm import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def true_value(p):\n",
    "    \"\"\" True value of the first state\n",
    "    Args:\n",
    "        p (float): probability of the action 'right'.\n",
    "    Returns:\n",
    "        True value of the first state.\n",
    "        The expression is obtained by manually solving the easy linear system\n",
    "        of Bellman equations using known dynamics.\n",
    "    \"\"\"\n",
    "    return (2 * p - 4) / (p * (1 - p))\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ShortCorridor:\n",
    "    \"\"\"\n",
    "    Short corridor environment, see Example 13.1\n",
    "    \"\"\"\n",
    "    def __init__(self):\n",
    "        self.reset()\n",
    "    \n",
    "    def reset(self):\n",
    "        self.state = 0\n",
    "    \n",
    "    def step(self, go_right):\n",
    "        \"\"\"\n",
    "        Args:\n",
    "            go_right (bool): chosen action\n",
    "        Returns:\n",
    "            tuple of (reward, episode terminated?)\n",
    "        \"\"\"\n",
    "        if self.state == 0 or self.state == 2:\n",
    "            if go_right:\n",
    "                self.state += 1\n",
    "            else:\n",
    "                self.state = max(0, self.state - 1)\n",
    "        else:\n",
    "            if go_right:\n",
    "                self.state -= 1\n",
    "            else:\n",
    "                self.state += 1\n",
    "        if self.state == 3:\n",
    "            # terminal state\n",
    "            return 0, True\n",
    "        else:\n",
    "            return -1, False\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def softmax(x):\n",
    "    t = np.exp(x - np.max(x))\n",
    "    return t / np.sum(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "class ReinforceAgent:\n",
    "    \"\"\"\n",
    "    ReinforceAgent that follows algorithm\n",
    "    'REINFORNCE Monte-Carlo Policy-Gradient Control (episodic)'\n",
    "    \"\"\"\n",
    "    def __init__(self, alpha, gamma):\n",
    "        # set values such that initial conditions correspond to left-epsilon greedy\n",
    "        self.theta = np.array([-1.47, 1.47])\n",
    "        self.alpha = alpha\n",
    "        self.gamma = gamma\n",
    "        # first column - left, second - right\n",
    "        self.x = np.array([[0, 1],\n",
    "                           [1, 0]])\n",
    "        self.rewards = []\n",
    "        self.actions = []\n",
    "    \n",
    "    def get_pi(self):\n",
    "        h = np.dot(self.theta, self.x)\n",
    "        pmf = softmax(h)\n",
    "        # never become deterministic,\n",
    "        # guarantees episode finish\n",
    "        imin = np.argmin(pmf)\n",
    "        epsilon = 0.05\n",
    "\n",
    "        if pmf[imin] < epsilon:\n",
    "            pmf[:] = 1 - epsilon\n",
    "            pmf[imin] = epsilon\n",
    "        \n",
    "        return pmf\n",
    "\n",
    "    def get_p_right(self):\n",
    "        return self.get_pi()[1]\n",
    "    \n",
    "    def choose_action(self, reward):\n",
    "        if reward is not None:\n",
    "            self.rewards.append(reward)\n",
    "\n",
    "        pmf = self.get_pi()\n",
    "        go_right = np.random.uniform() <= pmf[1]\n",
    "        self.actions.append(go_right)\n",
    "        return go_right\n",
    "    \n",
    "    def episode_end(self, last_reward):\n",
    "        self.rewards.append(last_reward)\n",
    "\n",
    "        # learn theta\n",
    "        G = np.zeros(len(self.rewards))\n",
    "        G[-1] = self.rewards[-1]\n",
    "        for i in range(2, len(G) + 1):\n",
    "            G[-i] = self.gamma * G[-i + 1] + self.rewards[-i]\n",
    "        \n",
    "        gamma_pow = 1\n",
    "        for i in range(len(G)):\n",
    "            j = 1 if self.actions[i] else 0\n",
    "            pmf = self.get_pi()\n",
    "            grad_ln_pi = self.x[:, j] - np.dot(self.x, pmf)\n",
    "            update = self.alpha  * gamma_pow * G[i] * grad_ln_pi\n",
    "            self.theta += update\n",
    "\n",
    "            gamma_pow *= self.gamma\n",
    "        \n",
    "        self.rewards = []\n",
    "        self.actions = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def example_13_1():\n",
    "    epsilon = 0.05\n",
    "    fig, ax = plt.subplots(1, 1)\n",
    "\n",
    "    # Plot a graph\n",
    "    p = np.linspace(0.01, 0.99, 100)\n",
    "    y = true_value(p)\n",
    "    ax.plot(p, y, color='red')\n",
    "\n",
    "    # Find a maximum point, can also be done analytically by taking a derivative\n",
    "    imax = np.argmax(y)\n",
    "    pmax = p[imax]\n",
    "    ymax = y[imax]\n",
    "    ax.plot(pmax, ymax, color='green', marker=\"*\", label=\"optimal point: f({0:.2f}) = {1:.2f}\".format(pmax, ymax))\n",
    "\n",
    "    # Plot points of two epsilon-greedy policies\n",
    "    ax.plot(epsilon, true_value(epsilon), color='magenta', marker=\"o\", label=\"epsilon-greedy left\")\n",
    "    ax.plot(1 - epsilon, true_value(1 - epsilon), color='blue', marker=\"o\", label=\"epsilon-greedy right\")\n",
    "\n",
    "    ax.set_ylabel(\"Value of the first state\")\n",
    "    ax.set_xlabel(\"Probability of the action 'right'\")\n",
    "    ax.set_title(\"Short corridor with switched actions\")\n",
    "    ax.set_ylim(ymin=-105.0, ymax=5)\n",
    "    ax.legend()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nZwd/f384ODhgz549OH36dKHPQVVL87LPjzZ8fHwghEDFihURFBSUa2vcuDGA5z/3Fz8jGRkZiImJeeX7/Pbbb0hLS8OOHTswbNgwdOzYEUFBQbmS54L8fgAF/xkX1e+SiYkJ2rRpg4ULF+LixYuYMWMGDhw4oG6GJMPB5IgM3sGDB/P8717VbyC/kVj5MTU1Rbt27fDrr79qDL2/e/cuNm7ciKZNm8Le3v6Vx1H9cS3IDNl169ZFxYoVsXjx4lzlVefm7u6O2rVrY/369Rplzp8/j71796Jjx46vfB9tdezYEX/99RdOnDih3nf//n388MMPGuWCgoKgVCqxdOlSjZ/Fd999h8TERHTq1Om14mjWrBkOHDiAEydOqJMjVYIxe/ZsWFlZoV69ei89hjY/D208fPhQ47GJiYl6BFlaWpp6f7NmzRAbG4vNmzerz8HExASBgYFYuHAhMjIyXtnfSDUX1Ivn4OzsjObNm2PNmjW4ceOGxnOFqRHt3r07TE1NMWXKlFyvF0Koz7l+/fpwdnbG8uXLkZ6eri6zbt26Al1nVW1KzvdITEzE2rVrNcq1a9cOdnZ2mDVrFp49e5YrHhUbGxt1U9zLFMXv0qNHj3Ltq127NgDNzwEZBjarkcH76KOPkJKSgm7duqFatWpIT0/HsWPHsHnzZnh5eRW4429O06dPV89Z8uGHH8LMzAwrVqxAWloa5s6dW6BjqL6sJ02ahHfeeQfm5ubo0qVLnv+RmpiYYNmyZejSpQtq166NgQMHwt3dHZcuXcKFCxfwxx9/AADmzZuHDh06ICAgAIMHD1YPP3ZwcNCY70ZXPv30U3z//fdo3749Ro0apR7K7+npqTH3kLOzMyZOnIgpU6agffv2eOONNxAVFYVvv/0WDRo0wHvvvfdacTRr1gw//PADFAqFupnN1NQUgYGB+OOPP9CyZctX9mGqXbs2TE1NMWfOHCQmJsLCwkI9v87rGDJkCB49eoTWrVujfPnyuH79Or766ivUrl1bY6oAVeITFRWFmTNnqvc3b94cu3fvhoWFBRo0aPDS97KyskKNGjWwefNmVKlSBaVKlULNmjVRs2ZNLF26FE2bNkXdunXx/vvvo2LFioiNjcXOnTtx9uxZrc7Jx8cH06dPx8SJExEbG4uuXbvCzs4OMTEx2L59O95//32MGzcO5ubmmD59OoYNG4bWrVujV69eiImJwdq1awvU56hdu3bqWrdhw4YhOTkZq1atgouLi0aNr729PRYtWoQhQ4agQYMG6rm7IiIikJKSom6+rFevHjZv3owxY8agQYMGsLW1RZcuXfJ8b13/Lk2dOhWHDx9Gp06d4OnpiXv37uHbb79F+fLl1Z9ZMiDFP0COSLd2794tBg0aJKpVqyZsbW2FUqkUlSpVEh999JG4e/euRlkAYsSIEbmO8eKwbyGEOH36tAgODha2trbC2tpatGrVShw7dkyjjGoo/8mTJ/OMbdq0aaJcuXLCxMSkQMP6jxw5Itq2bSvs7OyEjY2NqFWrlsYUA0IIsW/fPtGkSRNhZWUl7O3tRZcuXcTFixc1yqiGH+c1rNjT01N06tQpz/fP6zqcO3dOtGjRQlhaWopy5cqJadOmie+++y7P8/n6669FtWrVhLm5uXB1dRUffPBBrqkJWrRoIXx9fV96HV504cIFAUBUr15dY//06dMFAPHFF18U6FxWrVolvL29hampqcaw/vyuSYsWLV45HP3nn38W7dq1Ey4uLkKpVIoKFSqIYcOGibi4uFxlXVxcBACNz+WRI0cEANGsWbNc5V8cyi+EEMeOHRP16tUTSqUy17D+8+fPi27duglHR0dhaWkpqlatqnFt8vtcqD7HL/48t27dKpo2bSpsbGyEjY2NqFatmhgxYoSIiorSKPftt9+KihUrCgsLC1G/fn1x+PDhAl07IYTYsWOHqFWrlrC0tBReXl5izpw5Ys2aNXnGs2PHDhEYGKj+7Dds2FD8+OOP6ueTk5NFnz59hKOjowCgvnZ5DeUX4vV+l168Zvv37xdvvvmmKFu2rFAqlaJs2bKid+/e4vLly6+8BqR/FEK8Ri9UIiIiIiPDPkdEREREOTA5IiIiIsqByRERERFRDkyOiIiIiHJgckRERESUA5MjIiIiohw4CaSWsrOzcefOHdjZ2RXpcgRERESkO0IIPHnyBGXLln3lGoZMjrR0586dAq2rRURERPrn5s2bKF++/EvLMDnSkp2dHQDp4hZkfS0iIiKSX1JSEjw8PNTf4y/D5EhLqqY0e3t7JkdEREQGpiBdYtghm4iIiCgHJkdEREREOTA5IiIiIsqByRERERFRDkyOiIiIiHJgckRERESUA5MjIiIiohyYHBERERHlwOSIiIiIKAcmR0REREQ5lNjk6JtvvoGXlxcsLS3RqFEjnDhxQu6QiIiISA+UyORo8+bNGDNmDEJCQnD69Gn4+/sjODgY9+7dkzs0IiIiklmJTI4WLlyIoUOHYuDAgahRowaWL18Oa2trrFmzRu7QiIiISGYlLjlKT0/HqVOnEBQUpN5nYmKCoKAgHD9+PFf5tLQ0JCUlaWxERERkvEpccvTgwQNkZWXB1dVVY7+rqyvi4+NzlZ81axYcHBzUm4eHR3GFSkRERDIoccmRtiZOnIjExET1dvPmTblDIiIioiJkJncAxa1MmTIwNTXF3bt3NfbfvXsXbm5uucpbWFjAwsKiuMIjIiIimZW4miOlUol69eph//796n3Z2dnYv38/AgICZIyMiIiI9EGJqzkCgDFjxqB///6oX78+GjZsiMWLF+Pp06cYOHCg3KERERGRzEpkctSrVy/cv38fX375JeLj41G7dm3s2bMnVydtIiIiKnkUQgghdxCGJCkpCQ4ODkhMTIS9vb3c4RAREVEBaPP9XeL6HBERERG9DJMjIiIiohyYHBERERHlwOSIiIiIKAcmR0REREQ5MDkiIiIiyoHJEREREVEOTI6IiIiIcmByRERERJQDkyMiIiKiHJgcEREREeXA5IiIiIgoByZHRERERDkwOSIiIiLKgckRERERUQ5MjoiIiIhyYHJERERElAOTIyIiIqIcmBwRERER5cDkiIiIiCgHJkdEREREOTA5IiIiIsqByRERERFRDkyOiIiIiHJgckRERESUA5MjIiIiohyYHBERERHlwOSIiIiIKAcmR0REBuCfO/+g9frW+OfOP3KHQmT0mBwRERmADREbcDD2IL6P+F7uUIiMnpncARARUd6uP76OBykPoFAosPnCZgDApgub0L92fwghUMa6DDwdPWWOksj4MDkiIsqPEMCzZ8CTJ8+3p0+B5GTp9ulTICVF2lJTn98+e/Z8S00F0tOBtDTN28xMICND2jIzpS0rC8jOlm6zsuA1+rE6FIUAoADuJ99DvZX1noe42BEwMZE2U1NpMzMDzM2f35qbAxYWgFIpbRYWgKWl5mZtrbnZ2AC2toCd3fNbe3tpc3CQjk1kpPjpJiLjlpkJPHokbQ8fStujR0BCAvD48fPbx4+BxETN7ckT6fUy+d9WYEBXINMUEAppn+rWLAtY9wukuOVgbQ04Okqbk9PzrXRpoEwZzc3FBXB1lZ5XKOSJl0gLTI6IyLAIASQlAXFxQHw8cPcucO/e89t794D794EHD6TbhATdvK+NzfNaFBsbzc3aGrCyen5rZfW8RkZVS6OqsVEqn9fmqDYzM2lT1fz8Vwv0rkKB6gkXUW9Pt1zh/N35F9Tt5yvVNKlqm7Kzn9dC5ayZysiQaqtU27NnUg2WqmZLtalqwVS1YsnJUoKouk1KksoBz8veuVPwa2hm9jxRKltWcytXDvDwkDZHRyZRJCsmR0SkP9LTgdu3gVu3gJs3pft37jy/vXNHSohUX9DacHQESpWSajZKlZK2nLUeDg65N3v75wmRiUzjV+KSAQAmMEE2stW38PAA3CsVfzwZGVKSlJj4vMZNVROXkCDdf/Dg+aZKVh8/lhI21c/xzJn838PGBqhQAfDyAipWfH7r7Q1UqiT9XIiKEJMjIio+T58CMTHSdv265nbjhlT7I0TBjuXgALi5SbUQrq7PayScnZ9vqmadUqUMto+Mi40L3Gzd4GHvgcF1BuO7M9/hZtJNuNi4yBOQubmUYJYurd3r0tKkJOnuXSnBjYt7nijlTIgfPpQ+J5GR0pYXFxcpSapcGahWDaheXbr19pbiI3pNCiEK+peIACApKQkODg5ITEyEPf97IdIkhPTldvWq5hYdLSVEd++++hgWFkD58lLNSLly0qZqdilbFnB3l5Iga+uiPx89kZaZBqWpEgqFAkIIpGelw8LMQu6wikZqqpQoXb8OxMZKmyqhjo6WaqLyY24OVKkC+PlJW61a0ubhwWY60ur7m8mRlpgcEUFqWomOBi5eBKKiNLdX9fFxdHzeVOLp+XyrUEH6EnN25hcZ5S8pSfrsXbkCXL4MXLok1TBduiT1gcpL6dJA3brSVq8eUL++9Pnj56xEYXJUhJgcUYmSlSV9Ef37r7RduCAlRFeuSAlSfsqXl5o9VJu3N+DjIyVFTk7FFz+VHNnZUo3T+fPAuXPS5/XcOSlpymvEoasr0Ljx861RI6kjPRktJkdFiMkRGa0nT6Qvk7Nnn28XLuTf+dnG5nlfj6pVpa1KFakfSAlq8iI99+yZlDCdOgWcPi3dRkTkTpiUSqBhQ6BFC2kLDJQ+42Q0mBwVISZHZBSePJFGC/3zj/Rl8c8/UhNFXqysgBo1pD4cNWsCvr7S4/Ll5RvBRfQ6UlOlROmvv6Tt6FGpg3hO5uZA06ZAu3ZAcDDg78/Pu4FjclSEmByRwcnKkprC/v5b+iL4+2+pRiivX/3y5YHataXN31/avL2luXeIjJUQUvPxn38+327c0Czj4gJ06AC8+aaUMLFWyeAwOSpCTI5I7z19KiVAR48CR44Ax49LNUUv8vCQOqaqOqjWrSt1hiYq6YSQRlnu3Qv88Qdw8KA0EaaKpSUQFAR07Qp06yZNFUF6j8lREWJyRHrn6VMpETp0SNpOnszdn8LWFmjQ4HnH00aNpDmCiOjV0tOl37EdO4Bff5WmFVAxN5ea3Xr3Bt54Q/pdI73E5KgIMTki2WVkACdOAGFhwL59Ui3Ri8lQ+fJSf4mmTYEmTaT+QmwaI3p9QkgdvH/9FfjpJ2kQg4q1NdC9OzBkCNC8OacK0DNMjooQkyOSxY0bwK5dwO7dUhX/i81kFSoArVoBLVtKI20qVpQlTKIS5+JF4McfpS06+vn+ypWBwYOB/v1ZS6snmBwVISZHVCyysqRq/J07pe3CBc3nS5UC2rQB2raV+j4wGSKSlxBSk/Z33wEbNz7vo2RmBvTqBXzyidS/j2TD5KgIMTmiIpOaKjWV/fIL8Ntv0qKdKiYmQECANFomOBioU4fNZET6KjkZ2LIFWLVKGiGq0rw5MGYM0Lkzf39lwOSoCDE5Ip1KTZWayzZvlmqIci5/4OQEdOwIdOokJUQcEUNkeE6dAhYtkn7HVX0Dq1UDvvwS6NmTSVIxYnJUhJgc0WtLTwf27AE2bZJGvzx9+vy5ChWk4cFdu0qdqbnCOJFxuHUL+OYbYPly4PFjaV+NGkBICPD225xgshgwOSpCTI6oUFT9ETZskJKihw+fP+fpKf0H2bOn1CeBI1yIjFdSErB0KbBgwfMkqWZNYN48oH17WUMzdkyOihCTI9JKfDywbh2wdq3m8hxubtK8KL16Ses5MSEiKlkSE4HFi6Umt8REaV+nTtLjypVlDc1YMTkqQkyO6JWys6X5h1aulOZCUfUzsLKSZtPt108aaWZmJm+cRCS/hARgxgxgyRLpb4W5OTB6NDB5MsDvGJ1iclSEmBxRvhISpGG8336rOYNu48bSpHA9evCPHRHlLSpKGu6/e7f02N1d+gerc2d54zIi2nx/swcY0euKjAQ+/FCalXr8eCkxcnQEPvpImj33+HFpMjgmRkSUn6pVpZGrO3dKzWpxcUCXLsCAAc/7JlGxYXJEVBhCAIcPS0Pta9QAli2ThuH7+QGrVwO3b0udLv385I6UiAxJx45ARAQwdqzUF3H9esDXV0qcqNgYTXIUGxuLwYMHo2LFirCysoKPjw9CQkKQnp6uUe7cuXNo1qwZLC0t4eHhgblz58oUMRmk7GxpgsYmTaRlOnbvlv6Ade0qLesRESHVEllbyx0pERkqKytg/nzgyBGgShXgzh2ps/bIkdJUIFTkjCY5unTpErKzs7FixQpcuHABixYtwvLly/H555+ryyQlJaFdu3bw9PTEqVOnMG/ePISGhmLlypUyRk4GITtbWmTS319aefv4ccDCAvjgA+DKFWD7dmldM446IyJdCQwEzp6VZtUGpHmSWrSQ5kyiImXUHbLnzZuHZcuW4dq1awCAZcuWYdKkSYiPj4dSqQQATJgwAb/88gsuXbpUoGOyQ3YJI4RUU/Tll1KtECD1HfrwQ2DUKC4oSUTFY+dO4L33pP5Hzs7SfGmtW8sdlUFhh+z/JCYmolSOJReOHz+O5s2bqxMjAAgODkZUVBQSEhLyPEZaWhqSkpI0NiohwsKARo2AN9+UEiN7eyA0FLh+HZg1i4kRERWfTp2kpUj8/YH796VFp+fOlf6BI50z2uTo6tWr+OqrrzBs2DD1vvj4eLi6umqUUz2Oj4/P8zizZs2Cg4ODevPw8Ci6oEk/REZKnSLbtZNmtba2BiZOlEahhYRII9GIiIqbt7fUpN+/v9TU/9lnUj+krCy5IzM6ep8cTZgwAQqF4qXbi01it2/fRvv27dGjRw8MHTr0td5/4sSJSExMVG83b958reORHnvwQPpD4+cndbQ2M5OazmJigJkzufArEcnPykqacX/pUqmP47ffAn36AGlpckdmVPR+it6xY8diwIABLy3j7e2tvn/nzh20atUKgYGBuTpau7m54e7duxr7VI/d8mkisbCwgIWFRSEiJ4ORlSX9gfnii+fT+HftKlVZcxp/ItI3CoU0j5qzszTj/pYtwKNH0sAQW1u5ozMKep8cOTs7w9nZuUBlb9++jVatWqFevXpYu3YtTF5Y5TggIACTJk1CRkYGzP9b7TwsLAxVq1aFk5OTzmMnA3D6NDBsGPDPP9Lj2rWBhQuBVq1kDYuI6JXeeUeq0e7eXVqyqHVraT6kMmXkjszg6X2zWkHdvn0bLVu2RIUKFTB//nzcv38f8fHxGn2J+vTpA6VSicGDB+PChQvYvHkzlixZgjGqYZJUcjx5Iq1f1KCBlBg5OEgTOf7zDxMjIjIc7doBBw4ApUtLfSTbtn1eA06Fpvc1RwUVFhaGq1ev4urVqyhfvrzGc6rZChwcHLB3716MGDEC9erVQ5kyZfDll1/i/ffflyNkksvevdJEjaq5Qnr3lmqLOPqMiAxRw4ZAeLg019rZs9II2z17AEtLuSMzWEY9z1FR4DxHBuzpU+DTT6X+RQDg4yPdb9dO3riIiHThzBkpQUpKkvpN/vSTNLCEAHCeI6Lcjh+X+hOpEqORI6W5i5gYEZGxqFMH2LFDmr3/l1+A4cM5D1IhMTki45aVJc1N1LQpcPUqUL68NLnjV18BNjZyR0dEpFstWkizZ5uYAN99J83RRlpjckTG6949IDgYmDpVmjCtb1/g33+BoCC5IyMiKjpduwKrVkn358wB1q+XNRxDxOSIjFN4uNSMtn+/NMP1//4HbNjA2a2JqGQYNEha7giQFsg+f17WcAwNkyMyLkIA8+ZJw/Hj4oDq1aXhre++K3dkRETF64svpNrz1FTg7belKUyoQJgckfF49kxqOvv0U6mv0bvvAidOADVqyB0ZEVHxMzEBvv8eKFcOiIoC3n+fHbQLiMkRGYf796W+RD/8AJiaAt98I/1R4FT6RFSSOTtLy4uYmUkdtZcvlzsig8DkiAxfZCTQuDFw9Kg00/Xu3cCHH0rrDxERlXSBgcDs2dL90aOBU6dkDccQMDkiw3bgABAQAFy7BlSsKM1n1Lat3FEREemXMWOkUWzp6VKXg7Q0uSPSa0yOyHD9+ivQoYO0jlCTJsDff0sdsImISJNCAaxZIy2TFBUlDVyhfDE5IsP044/AW29J/wV17y4N2Xd2ljsqIiL95eQELFok3Z8+XZoYl/LE5IgMz+rVUrVwVpY0Om3zZmm6fCIierlevaSuB2lpwIgRHL2WDyZHZFgWLwaGDpV+oYcPB9at48KKREQFpVBIo3ktLIC9e6WRbJQLkyMyHEuXAp98It0fN05aRNaEH2EiIq1Urgx8/rl0f/Roqd8maeA3CxmG9euBUaOk+198Acydy6H6RESF9dlnQJUqQHw8MGmS3NHoHSZHpP9++QUYPFi6/8knwJQpTIyIiF6HhQWwbJl0/9tvgdOn5Y1HzzA5Iv124IDUgTArCxgwAJg/n4kREZEutG4NvPOO1IdzyhS5o9ErTI5If504AbzxhjRcv1s3YNUq9jEiItKl0FDpH84dO4AzZ+SORm8U6psmOjoakydPRu/evXHv3j0AwO7du3HhwgWdBkcl2PXrQOfOwNOnQJs2wMaNHJVGRKRrVatKtUeANPcRAShEcvTnn3/Cz88Pf//9N7Zt24bk5GQAQEREBEJCQnQeIJVAT58Cb74pLSZbpw6wfTtgaSl3VERExmnyZKn2aNs24N9/5Y5GL2idHE2YMAHTp09HWFgYlEqlen/r1q3x119/6TQ4KoGys4H+/YGICMDFRVoixM5O7qiIiIxXjRpAjx7SfdYeAShEcvTvv/+iW7duufa7uLjgwYMHOgmKSrDp04GtWwFzc+m/GA8PuSMiIjJ+kydLtz/9BFy8KG8sekDr5MjR0RFxcXG59p85cwblypXTSVBUQm3bBqiaZpcvlxaTJSKioufnJ61TKQQwY4bc0chO6+TonXfewWeffYb4+HgoFApkZ2fj6NGjGDduHPr161cUMVJJcP48oPr8jBoFDBokbzxERCXNF19It5s2AVFR8sYiM62To5kzZ6JatWrw8PBAcnIyatSogebNmyMwMBCTVdVyRNpITZXmMnr6FAgKkuYyIiKi4lW7tjR9SnZ2ia89UghRuCV5b968iX///RfJycmoU6cOKleurOvY9FJSUhIcHByQmJgIe3t7ucMxDiNHSgshuroC585JHbGJiKj4/fMP0KCB1O/zzh2gTBm5I9IZbb6/ta45mjp1KlJSUuDh4YGOHTuiZ8+eqFy5MlJTUzF16tRCB00l1O+/S4kRIK2fxsSIiEg+9esD9eoBGRnADz/IHY1stE6OpkyZop7bKKeUlBRM4fTjpI34eGDgQOn+J58AwcHyxkNERM/7fK5ZI3XQLoG0To6EEFDksbZVREQESpUqpZOgqATIzpbWSnvwAPD3B2bNkjsiIiICgN69pYVpz50rsUuKFHg9BicnJygUCigUClSpUkUjQcrKykJycjKGDx9eJEGSEVq6FPjjD2nm640bpV9EIiKSn5OTtJ7lpk1S7VHdunJHVOwK3CF7/fr1EEJg0KBBWLx4MRwcHNTPKZVKeHl5ISAgoMgC1RfskK0DV65Ic2qkpQHffgt88IHcERERUU5hYUC7doCjIxAXZxRLOGnz/V3gmqP+/fsDACpWrIjAwECYm5u/XpRUMgkBfPihlBi1awewtpGISP+0bi2tUHDzJvDLL88Xpy0htO5z1KJFC3Vi9OzZMyQlJWlsRC+1aROwb5/UjPbtt9Jih0REpF9MTaV+oQCwdq2sochB6+QoJSUFI0eOhIuLC2xsbODk5KSxEeXr8WNpVBogrePj4yNrOERE9BKq5CgsDLhxQ9ZQipvWydH48eNx4MABLFu2DBYWFli9ejWmTJmCsmXLYsOGDUURIxmLzz8H7t4FqlYFxo+XOxoiInoZb2+gZUupO8T69XJHU6y0To5+++03fPvtt3jrrbdgZmaGZs2aYfLkyZg5cyZ+KMETRtEr/P23tJgsIN1ydBoRkf5TzXm0bp00BUsJoXVy9OjRI3h7ewMA7O3t8ejRIwBA06ZNcfjwYd1GR8YhMxMYNkz676NfP+k/ESIi0n9vvQXY2QHXrgEl6Dte6+TI29sbMTExAIBq1aphy5YtAKQaJUdHR50GR0bi22+BiAhp7gwuKktEZDisrYGePaX7W7fKG0sx0jo5GjhwICIiIgAAEyZMwDfffANLS0t88sknGM9+JPSipCRg2jTp/qxZgLOzvPEQEZF2OneWbnfvljeOYlTgSSDzc/36dZw6dQqVKlVCrVq1dBWX3uIkkFoKDQWmTJE6YZ8/D5gVeGotIiLSB0+eAKVLS4vRXr4MVK4sd0SFos33t9Y1Rxs2bEBaWpr6saenJ7p3745q1apxtBppun8fWLBAuj99OhMjIiJDZGcHNG0q3S8htUeFalZLTEzMtf/JkycYqFphnQgAZs4EkpOBevWkTn1ERGSYOnSQbpkc5U0IobHorMqtW7c01lujEu7GDakjNiD1NeJM2EREhkuVHB06BKSmyhpKcShwO0edOnWgUCigUCjQpk0bmOVoIsnKykJMTAzat29fJEGSAQoNBdLTpfV5goLkjoaIiF6Hry9Qvjxw65aUIKmSJSNV4OSoa9euAICzZ88iODgYtra26ueUSiW8vLzwFptOCAAiI5/PpjpzJmuNiIgMnUIhJUSrVklNa0yOJCEhIQAALy8vvPPOO7DgDMeUn8mTpZlUu3UDGjWSOxoiItKFnMmRkdO6z1Hr1q1x//599eMTJ05g9OjRWLlypU4DIwN17hywbRtgYiKNUCMiIuPQpo006vjqVWkzYlonR3369MHBgwcBAPHx8QgKCsKJEycwadIkTJ06VecBkoFZtEi6ffttoEYNeWMhIiLdsbcvMUP6tU6Ozp8/j4YNGwIAtmzZAj8/Pxw7dgw//PAD1q1bp+v4yJDExQGqxYfHjpU3FiIi0r0SMqRf6+QoIyND3d9o3759eOONNwBI66zFxcXpNjoyLN98I82g2rQp8F8CTURERkSVHB08aNRD+rVOjnx9fbF8+XKEh4cjLCxMPXz/zp07KF26tM4DJAPx9CmwbJl0f8wYeWMhIqKiUbMmUK4c8OwZ8OefckdTZLROjubMmYMVK1agZcuW6N27N/z9/QEAO3bsUDe3UQm0fj3w6BHg4wP8V5tIRERGRjWkHzDqprVCLTyblZWFpKQkODk5qffFxsbC2toaLi4uOg1Q33Dh2TxkZ0sLy169Cnz1FTBypNwRERFRUdm+HejeXVqA9vJluaMpMG2+vwu1EqipqalGYgRI8x9RCfXbb1Ji5OgIDBggdzRERFSU2rSRapCuXAHi4wE3N7kj0jmtm9WIclm4ULodPhzIMXM6EREZIXt7oFo16f6pU/LGUkSYHNHr+ecf4PBhaWIwNqcREZUM9etLt//8I28cRcQok6O0tDTUrl0bCoUCZ8+e1Xju3LlzaNasGSwtLeHh4YG5c+fKE6SxWLpUun3nHWkEAxERGT8mR5o2bNiAtLS0XPvT09OxYcMGnQT1uj799FOULVs21/6kpCS0a9cOnp6eOHXqFObNm4fQ0FAufVJYSUnAzz9L91lrRERUcuRMjrQf16X3tE6OBg4ciMTExFz7nzx5goEDB+okqNexe/du7N27F/Pnz8/13A8//ID09HSsWbMGvr6+eOedd/Dxxx9joarPDGnnp5+kScCqVeOkj0REJUnt2oCpqdQh+84duaPROa2TIyEEFApFrv23bt2Cg4ODToIqrLt372Lo0KH4/vvvYW1tnev548ePo3nz5lAqlep9wcHBiIqKQkJCQp7HTEtLQ1JSksZG/1m/Xrrt318auUBERCWDtTXg6yvdN8KmtQIP5a9Tpw4UCgUUCgXatGkDM7PnL83KykJMTIx6tmw5CCEwYMAADB8+HPXr10dsbGyuMvHx8ahYsaLGPldXV/VzL05PAACzZs3ClClTiiRmgxYdDYSHAyYmQN++ckdDRETFrX594Nw5KTl68025o9GpAidHXbt2BQCcPXsWwcHBsM0xZFupVMLLywtvvfWWzgOcMGEC5syZ89IykZGR2Lt3L548eYKJEyfq9P0nTpyIMTmWw0hKSoKHh4dO38MgqfqXBQWxIzYRUUlUvz6wZg1w8qTckehcgZOjkJAQANJkj++884568dmiNnbsWAx4xcSC3t7eOHDgAI4fP54rrvr16+Pdd9/F+vXr4ebmhrt372o8r3rsls8kVhYWFsV2rgYjO/t5ctS/v7yxEBGRPF7slG1E3Su0niG7devWuH//PsqXLw8AOHHiBDZu3IgaNWrg/fff13mAzs7OcHZ2fmW5pUuXYvr06erHd+7cQXBwMDZv3oxGjRoBAAICAjBp0iRkZGTA3NwcABAWFoaqVavm2aRG+QgPB2JjpYnA/qtRJCKiEqZWLcDcHHj4ELh+HTCilTK07pDdp08fHDx4EIDUTycoKAgnTpzApEmTMHXqVJ0HWFAVKlRAzZo11VuVKlUAAD4+PupErk+fPlAqlRg8eDAuXLiAzZs3Y8mSJRrNZlQAqo7YPXtKnfKIiKjksbAA/Pyk+0bWKVvr5Oj8+fNo+N+w7S1btsDPzw/Hjh3DDz/8gHXr1uk6Pp1ycHDA3r17ERMTg3r16mHs2LH48ssvi6TGy2g9fSoN4QfYpEZEVNIZ6WSQWjerZWRkqPvg7Nu3D2+88QYAoFq1aoiLi9NtdK/By8sLIo+JqWrVqoXw8HAZIjIS27YBycmAjw/QpInc0RARkZzq1wdWrjS65EjrmiNfX18sX74c4eHhCAsLUw/fv3PnDkqXLq3zAEnPcG4jIiJSMdKZsrVOjubMmYMVK1agZcuW6N27N/z9/QEAO3bsUDe3kZG6eRM4cEC6z7mNiIjI11fqe5SYKM1/ZyS0alYTQsDb2xs3btxAZmamxgiv999/P89ZqcmI/Pqr9J9B06ZGNSqBiIgKSalEVq06CD9pgbgl9+D+ViU0ayatLGLItKo5EkKgUqVKec4m7eXlBRcXF50GR3pmxw7plsP3iYgIUjdUr4u70AqH0OfrQLRqJf3vvG2b3JG9Hq2SIxMTE1SuXBkPHz4sqnhIXyUmAocOSff/64RPREQl17ZtwNtvA7eeOmrsv31b2m/ICZLWfY5mz56N8ePH4/z580URD+mrP/4AMjKAatWAypXljoaIiGSUlQWMGqXqg605OEfVL3v0aKmcIdJ6KH+/fv2QkpICf39/KJVKWFlZaTz/6NEjnQVHekTVpMZaIyKiEi88HLh1K//nhZDG8ISHAy1bFltYOqN1crR48eIiCIP0WkYGsHOndJ/JERFRiVfQaQ31aPpDrWidHPXnrMglz9GjwOPHQJkyQOPGckdDREQyc3fXbTl9U6DkKCkpCfb29ur7L6MqR0ZE1aTWqZPhj88kIqLX1qwZUL681Pk6r7kfFQrp+WbNij82XShQcuTk5IS4uDi4uLjA0dERijxmRhZCQKFQIMtQe19R3oRgfyMiItJgagosWSKNSlMoNBMkVYqweLHh/j9doOTowIEDKFWqFADg4MGDRRoQ6ZnISGnWU6USaNdO7miIiEhPdO8O/PyzNGotZ+fs8uUFFi9WoHt3+WJ7XQVKjpYsWYI6derA3t4e169fR69evdSLz5KR++036bZNG8DWVt5YiIhIr3TvDrz5JhB+IANxwQPgLm6j2bEfYVreQDsb/adA8xz9/vvvePr0KQBg4MCBSExMLNKgSI+wSY2IiF7C1BRo2dYcvSscRUv8CdNYw19jrUA1R9WqVcPEiRPRqlUrCCGwZcuWfDte9+vXT6cBkozu3QOOH5fud+4sbyxERKTffHyA69elrhhNm8odzWspUHK0fPlyjBkzBjt37oRCocDkyZPz7JStUCiYHBmTnTulXnZ160rDDoiIiPLj4wMcOABcuyZ3JK+tQMlRYGAg/vrrLwDS+mqXL1/mIrMlAZvUiIiooLy9pdtow29W03pttZiYGDg7OxdFLKRPsrKeLzTboYOsoRARkQHw8ZFujSA50nqGbE9Pz6KIg/TN+fPSrNi2tlKzGhER0cuokiMjaFbTuuaISojDh6XbJk0AM61zaCIiKmlUzWr37gFPnsgby2tickR5UyVHzZvLGwcRERkGR0fgvwmjDb32iMkR5SYEkyMiItKekTStFSo5yszMxL59+7BixQo8+a/q7M6dO0hOTtZpcCSTqCipWtTSEmjQQO5oiIjIUBjJiDWtO5Ncv34d7du3x40bN5CWloa2bdvCzs4Oc+bMQVpaGpYvX14UcVJxUtUaNW4McJkYIiIqKCMZsaZ1zdGoUaNQv359JCQkwMrKSr2/W7du2L9/v06DI5mwSY2IiArDSJrVtK45Cg8Px7Fjx6BUKjX2e3l54fbt2zoLjGQiBPDnn9J9JkdERKQNI2lW07rmKDs7G1lZWbn237p1C3Z2djoJimQUGwvcuiUN3w8IkDsaIiIyJKqao+vXgcxMeWN5DVonR+3atcPixYvVjxUKBZKTkxESEoKOHTvqMjaSg6pJrUEDwNpa3liIiMiwlCsHKJVSYnTzptzRFJrWydGCBQtw9OhR1KhRA8+ePUOfPn3UTWpz5swpihipOLG/ERERFZaJCVCxonTfgJvWtO5zVL58eURERGDTpk04d+4ckpOTMXjwYLz77rsaHbTJQDE5IiKi1+HjI00JEx0NBAXJHU2hFGpdCDMzM7z33nu6joXkducOcPWqlPk3aSJ3NEREZIiMYMRaoZKjK1eu4ODBg7h37x6ys7M1nvvyyy91EhjJQFVrVLs24OAgayhERGSgjGDEmtbJ0apVq/DBBx+gTJkycHNzg0KhUD+nUCiYHBkyNqkREdHrMoKJILVOjqZPn44ZM2bgs88+K4p4SE6q5KhFC3njICIiw5WzWU0IIEcliqHQerRaQkICevToURSxkJwePAAuXJDuN20qbyxERGS4VKPVkpKAhw/ljaWQtE6OevTogb179xZFLCSno0el2xo1gDJl5I2FiIgMl5UVULasdN9AO2UXqFlt6dKl6vuVKlXCF198gb/++gt+fn4wNzfXKPvxxx/rNkIqHqdPS7eNG8sbBxERGT4fH2kEdHQ00LCh3NForUDJ0aJFizQe29ra4s8//8SfqjW4/qNQKJgcGaqzZ6Xb2rXljIKIiIyBtzcQHm6wnbILlBzFxMQUdRwktzNnpFsmR0RE9LoMfK4jrfscTZ06FSkpKbn2p6amYurUqToJiorZw4fP18Dx95c3FiIiMnwGPpxf6+RoypQpSE5OzrU/JSUFU6ZM0UlQVMxUTWo+PoC9vayhEBGRETDwiSC1To6EEBoTP6pERESgVKlSOgmKihn7GxERkS6pao5u3waePZM3lkIo8CSQTk5OUCgUUCgUqFKlikaClJWVheTkZAwfPrxIgqQipkqO6tSRNQwiIjISZcoA1tZASgpw6xZQqZLcEWmlwMnR4sWLIYTAoEGDMGXKFDjkWHtLqVTCy8sLAQEBRRIkFTF2xiYiIl1SKABnZ+D6dWmSYWNNjvr37w8AqFixIpo0aQIzs0KtWUv6JjUVuHRJus/kiIiIdEWVHN2/L3ckWtM6w2nBdbeMy4ULQFaW9CFWzWhKRET0ulSrLRhgcqR1h2wyMjmb1AxwcUAiItJTzs7SLZMjMjgcqUZEREVBlRw9eCBvHIVQoOTo3LlzyM7OLupYSA4cqUZEREXB2GuO6tSpgwf/ZX7e3t54+PBhkQZFxSQrC4iIkO6z5oiIiHTJ2JMjR0dH9fpqsbGxrEUyFtHRwNOngJUVUKWK3NEQEZExMeAO2QUarfbWW2+hRYsWcHd3h0KhQP369WFqappn2WsGushciaTqjF2rFpDPz5OIiKhQDLjmqEDJ0cqVK9G9e3dcvXoVH3/8MYYOHQo7O7uijo2KGjtjExFRUTHgDtkFnueoffv2AIBTp05h1KhRTI6MATtjExFRUVElR8nJ0vpqlpbyxqMFrYfyr127Vp0Y3bp1C7du3dJ5UFRMuGwIEREVFQcHQLWahoE1rWmdHGVnZ2Pq1KlwcHCAp6cnPD094ejoiGnTprGjtiGJjwfu3gVMTAA/P7mjISIiY6NQGGynbK2To0mTJuHrr7/G7NmzcebMGZw5cwYzZ87EV199hS+++KIoYtTKzp070ahRI1hZWcHJyQldu3bVeP7GjRvo1KkTrK2t4eLigvHjxyMzM1OeYOWkalKrWlVaOZmIiEjXDLTfkdZrq61fvx6rV6/GG2+8od5Xq1YtlCtXDh9++CFmzJih0wC1sXXrVgwdOhQzZ85E69atkZmZifPnz6ufz8rKQqdOneDm5oZjx44hLi4O/fr1g7m5OWbOnClb3LJgkxoRERU1Ax2xpnVy9OjRI1SrVi3X/mrVquHRo0c6CaowMjMzMWrUKMybNw+DBw9W769Ro4b6/t69e3Hx4kXs27cPrq6uqF27NqZNm4bPPvsMoaGhUCqVcoQuD45UIyKiomagyZHWzWr+/v74+uuvc+3/+uuv4e/vr5OgCuP06dO4ffs2TExMUKdOHbi7u6NDhw4aNUfHjx+Hn58fXF1d1fuCg4ORlJSECxcuyBG2fJgcERFRUTPQPkda1xzNnTsXnTp1wr59+xAQEABASjpu3ryJXbt26TzAglJNPhkaGoqFCxfCy8sLCxYsQMuWLXH58mWUKlUK8fHxGokRAPXj+Pj4PI+blpaGtLQ09eOkpKQiOoNilJEhzY4NAL6+8sZCRETGq6TUHLVo0QKXL19Gt27d8PjxYzx+/Bjdu3dHVFQUmjVrpvMAJ0yYAIVC8dLt0qVL6pFykyZNwltvvYV69eph7dq1UCgU+Omnnwr9/rNmzYKDg4N68/Dw0NWpyef6dWldNSsrwN1d7miIiMhYlZQO2QBQtmzZYut4PXbsWAwYMOClZby9vREXFwdAs4+RhYUFvL29cePGDQCAm5sbTpw4ofHau3fvqp/Ly8SJEzFmzBj146SkJMNPkK5elW59fKSh/EREREXBQGuOCpUcFSdnZ2c4qy7uS9SrVw8WFhaIiopC06ZNAQAZGRmIjY2Fp6cnACAgIAAzZszAvXv34OLiAgAICwuDvb29RlKVk4WFBSwsLHR0NnpClRxVrixvHEREZNyYHMnL3t4ew4cPR0hICDw8PODp6Yl58+YBAHr06AEAaNeuHWrUqIG+ffti7ty5iI+Px+TJkzFixAjjS4Be5soV6bZSJXnjICIi41ZSOmTrs3nz5sHMzAx9+/ZFamoqGjVqhAMHDsDJyQkAYGpqit9//x0ffPABAgICYGNjg/79+2Pq1KkyR17MVDVHTI6IiKgoqWqOHj0CMjOfLyei5xRCCCF3EIYkKSkJDg4OSExMhL29vdzhFE7VqsDly8CBA0CrVnJHQ0RExiozEzA3l+7fvQv816VFDtp8fxeqN25mZib27duHFStW4MmTJwCAO3fuIDk5uTCHo+KUmQnExEj3WXNERERFycwMKFVKum9ATWta129dv34d7du3x40bN5CWloa2bdvCzs4Oc+bMQVpaGpYvX14UcZKu3LghzXNkaQmUKyd3NEREZOzKlJGa1QwoOdK65mjUqFGoX78+EhISYGVlpd7frVs37N+/X6fBURHgMH4iIipOBjhiTeuao/DwcBw7dizXOmReXl64ffu2zgKjIsLO2EREVJwMcCJIrasOsrOzkZWVlWv/rVu3YGdnp5OgqAhxGD8RERUnA6w50jo5ateuHRYvXqx+rFAokJycjJCQEHTs2FGXsVFRYM0REREVJwNMjrRuVluwYAGCg4NRo0YNPHv2DH369MGVK1dQpkwZ/Pjjj0URI+kSZ8cmIqLiZIATQWqdHJUvXx4RERHYtGkTzp07h+TkZAwePBjvvvuuRgdt0kNZWcC1a9J91hwREVFxKAk1RwBgZmaG9957T9exUFG7eRNITweUSqB8ebmjISKiksAAO2RrnRxt2LDhpc/369ev0MFQEcs5jN/UVN5YiIioZCgJNUejRo3SeJyRkYGUlBQolUpYW1szOdJn7IxNRETFLWfNkRCAQiFvPAWg9Wi1hIQEjS05ORlRUVFo2rQpO2TrOw7jJyKi4qbqkJ2RASQmyhtLAelkiuTKlStj9uzZuWqVSM+w5oiIiIqblRVgYyPdN5CmNZ2tH2FmZoY7d+7o6nBUFDiMn4iI5GBgnbK17nO0Y8cOjcdCCMTFxeHrr79GkyZNdBYY6Vh2NhAdLd1nzRERERUnZ2cgNtZgao60To66du2q8VihUMDZ2RmtW7fGggULdBUX6dqtW0BaGmBuDnh4yB0NERGVJAY2Yk3r5Cg7O7so4qCipmpS8/YGzAo1vRUREVHhGNgs2Trrc0R6jp2xiYhILsbY52jMmDEFPuDChQsLHQwVISZHREQkF2NsVjtz5kyBDqYwgImdSizOcURERHIxxuTo4MGDRR0HFTUO4yciIrmwzxHpHQ7jJyIiORljzdGL/vnnH2zZsgU3btxAenq6xnPbtm3TSWCkQ3fuAKmp0ig1T0+5oyEiopLGwDpka11ztGnTJgQGBiIyMhLbt29HRkYGLly4gAMHDsDBwaEoYqTXpWpSq1iRw/iJiKj4qZKjp0+lf9b1nNbJ0cyZM7Fo0SL89ttvUCqVWLJkCS5duoSePXuiQoUKRREjvS6OVCMiIjnZ20uTEAMG0bSmdXIUHR2NTp06AQCUSiWePn0KhUKBTz75BCtXrtR5gKQDN25It2xSIyIiOSgUBtUpW+vkyMnJCU+ePAEAlCtXDufPnwcAPH78GCkpKbqNjnQjLk66LVdO3jiIiKjkMqBO2Vp3QGnevDnCwsLg5+eHHj16YNSoUThw4ADCwsLQpk2booiRXtedO9Jt2bLyxkFERCWXAXXKLnBydP78edSsWRNff/01nj17BgCYNGkSzM3NcezYMbz11luYPHlykQVKr4HJERERyc0Ya45q1aqFBg0aYMiQIXjnnXcAACYmJpgwYUKRBUc6wuSIiIjkZkDJUYH7HP3555/w9fXF2LFj4e7ujv79+yM8PLwoYyNdyMgA7t2T7ru7yxsLERGVXMbYIbtZs2ZYs2YN4uLi8NVXXyE2NhYtWrRAlSpVMGfOHMTHxxdlnFRYqp+LuTlQurS8sRARUcml+g569EjeOApA69FqNjY2GDhwIP78809cvnwZPXr0wDfffIMKFSrgjTfeKIoY6XWomtTc3QETrhZDREQysbGRbg1gZPtrfVtWqlQJn3/+OSZPngw7Ozvs3LlTV3GRrrC/ERER6QMDSo4KvZbE4cOHsWbNGmzduhUmJibo2bMnBg8erMvYSBeYHBERkT6wtpZunz6VN44C0Co5unPnDtatW4d169bh6tWrCAwMxNKlS9GzZ0/YqDJC0i9MjoiISB+okiNjqjnq0KED9u3bhzJlyqBfv34YNGgQqlatWpSxkS6oZsdmckRERHJSVaIYU82Rubk5fv75Z3Tu3BmmpqZFGRPpEmuOiIhIHxhjzdGOHTuKMg4qKkyOiIhIHxhQh2yO7TZ2TI6IiEgf5Kw5ys6WN5ZXYHJkzNLSgIcPpftMjoiISE6q5AgA/lujVV8xOTJmqs7YFhaAo6OsoRARUQmXMznS807ZTI6MWc4mNYVC3liIiKhkMzWV/lkH9L7fEZMjY8b+RkREpE8MpFM2kyNjxuSIiIj0iYHMks3kyJgxOSIiIn3CmiOSHZMjIiLSJ6w5Itlx6RAiItInBjJLNpMjY8aaIyIi0idsViPZMTkiIiJ9wmY1klVKCvD4sXSfyREREekD1hyRrFT9jaytATs7eWMhIiICWHNEMuPs2EREpG/YIZtkxf5GRESkb9isRrJickRERPqGzWokKyZHRESkb1hzVPwuX76MN998E2XKlIG9vT2aNm2KgwcPapS5ceMGOnXqBGtra7i4uGD8+PHIzMyUKeIixOSIiIj0DWuOil/nzp2RmZmJAwcO4NSpU/D390fnzp0RHx8PAMjKykKnTp2Qnp6OY8eOYf369Vi3bh2+/PJLmSMvApwdm4iI9A07ZBevBw8e4MqVK5gwYQJq1aqFypUrY/bs2UhJScH58+cBAHv37sXFixfxv//9D7Vr10aHDh0wbdo0fPPNN0hPT5f5DHSMNUdERKRv2KxWvEqXLo2qVatiw4YNePr0KTIzM7FixQq4uLigXr16AIDjx4/Dz88Prq6u6tcFBwcjKSkJFy5ckCv0osHkiIiI9I2BNKuZyR2ArigUCuzbtw9du3aFnZ0dTExM4OLigj179sDJyQkAEB8fr5EYAVA/VjW9vSgtLQ1paWnqx0lJSUV0Bjr05Im0AYC7u7yxEBERqbDmSDcmTJgAhULx0u3SpUsQQmDEiBFwcXFBeHg4Tpw4ga5du6JLly6IU/W/KYRZs2bBwcFBvXl4eOjw7IqI6nzt7ABbW3ljISIiUmHNkW6MHTsWAwYMeGkZb29vHDhwAL///jsSEhJgb28PAPj2228RFhaG9evXY8KECXBzc8OJEyc0Xnv37l0AgJubW57HnjhxIsaMGaN+nJSUpP8JEpvUiIhIHxlIh2y9T46cnZ3h7Oz8ynIp/11oExPNyjATExNkZ2cDAAICAjBjxgzcu3cPLi4uAICwsDDY29ujRo0aeR7XwsICFhYWr3MKxSsLwL5MAO8AVm7SY1OZYyIiIgLYrFbcAgIC4OTkhP79+yMiIgKXL1/G+PHjERMTg06dOgEA2rVrhxo1aqBv376IiIjAH3/8gcmTJ2PEiBGGlQDlZxsALwAzggD8CJxdJD3eJmdQRERE/1HVHKWnA3o8x6DRJEdlypTBnj17kJycjNatW6N+/fo4cuQIfv31V/j7+wMATE1N8fvvv8PU1BQBAQF477330K9fP0ydOlXm6HVgG4C3Adx6Yf/t//YzQSIiIrmpao4Ava49UgghhNxBGJKkpCQ4ODggMTFR3bdJdlmQaoheTIxUFADKA4gBm9iIiEg+QgCmptLtnTvFOqJam+9vo6k5KtHCkX9iBAACwM3/yhEREclFoTCIfkdMjoxBQWcqKPyMBkRERLphACPWmBwZg4LWSnI+SCIikpsBzHWk90P5qQCaQepTdBtSE9qLVH2OmhVnUIYnOzvb+NbYI6JCMTc3h6kpO2kWCQNoVmNyZAxMASyBNCpNIQCheP6c6u5isDP2S6SnpyMmJkY9JxYRkaOjI9zc3KBQKF5dmAqONUdUbLoD+BnAhxnAXeXz/eUhJUbdZYnKIAghEBcXB1NTU3h4eOSaSJSIShYhBFJSUnDv3j0AgDvXqNQt1hxRseoOwOkvoPWXgFtd4MeFUlMaa4xeKjMzEykpKShbtiysVf/REFGJZmVlBQDqFRXYxKZDBtAhm8mRsUlKAPAn4JUGtJQ7GMOQlZUFAFAqla8oSUQlieqfpYyMDCZHumQAzWpsPzA2jx5Jt05O8sZhgNivgIhy4t+EImIAzWpMjoxNQoJ0y+SIiIj0EWuOqNgxOSId8PLywuLFi43ifQ4dOgSFQoHHjx8X6fuoXLp0CY0bN4alpSVq166t3v/dd9+hXbt2xRLDqzRu3Bhbt26VOwwqqVhzRMVO1axWqpS8cZRQ/9z5B63Xt8Y/d/6RO5QCWbduHRwdHXPtP3nyJN5///3iD6gIBAYGIi4uDg4ODgV+zYABA9C1a9dCvV9ISAhsbGwQFRWF/fv3AwCePXuGL774AiEhIRplf/rpJ1SrVg2Wlpbw8/PDrl27XnpsVaL34hYfH68uk5WVhS+++AIVK1aElZUVfHx8MG3aNORcRnPy5MmYMGGCLFNXfPzxx6hXrx4sLCw0kkeVZ8+eYcCAAfDz84OZmZlWP4edO3eiUaNGsLKygpOTU56vXbduHWrVqgVLS0u4uLhgxIgRhT8ZKhwD6JDN5MjYsOZIVhsiNuBg7EF8H/G93KG8FmdnZ6MZuadUKot1rpro6Gg0bdoUnp6eKF26NADg559/hr29PZo0aaIud+zYMfTu3RuDBw/GmTNn0LVrV3Tt2hXnz59/5XtERUUhLi5Ovbm4uKifmzNnDpYtW4avv/4akZGRmDNnDubOnYuvvvpKXaZDhw548uQJdu/ercMzL7hBgwahV69eeT6XlZUFKysrfPzxxwgKCirwMbdu3Yq+ffti4MCBiIiIwNGjR9GnTx+NMgsXLsSkSZMwYcIEXLhwAfv27UNwcPBrnQsVggE0q0GQVhITEwUAkZiYKHcoeWvfXghAiLVr5Y7EYKSmpoqLFy+K1NRUIYQQ2dnZIjktucDbxXsXRXhsuDhy/YhwnussEArhPNdZHLl+RITHhouL9y4W+FjZ2dkFjvvZs2fio48+Es7OzsLCwkI0adJEnDhxQv38wYMHBQDx+++/Cz8/P2FhYSEaNWok/v33X43nc24hISFCCCE8PT3FokWL1McCIJYvXy46deokrKysRLVq1cSxY8fElStXRIsWLYS1tbUICAgQV69eVb/m6tWr4o033hAuLi7CxsZG1K9fX4SFhWmcw4vv86L+/fuLN998U4SGhooyZcoIOzs7MWzYMJGWlqb1dUhISBBCCLF27Vrh4OAg9uzZI6pVqyZsbGxEcHCwuHPnjhBCiJCQkFzX5eDBgwX6meR3PTt16iTGjRunUbZnz56iU6dOGvsaNWokhg0blu/xXzyXvHTq1EkMGjRIY1/37t3Fu+++q7Fv4MCB4r333ivAWRWNkJAQ4e/v/9Iyqp//q2RkZIhy5cqJ1atX51vm0aNHwsrKSuzbt6/AMb74t4F05KuvpO+pHj2K9W21+f7mUH5jw5qj15aSkQLbWbavdYz7KffRdG1TrV+XPDEZNkqbApX99NNPsXXrVqxfvx6enp6YO3cugoODcfXqVZTK0aw6fvx4LFmyBG5ubvj888/RpUsXXL58GYGBgVi8eDG+/PJLREVFAQBsbfM/72nTpmHhwoVYuHAhPvvsM/Tp0wfe3t6YOHEiKlSogEGDBmHkyJHq2ojk5GR07NgRM2bMgIWFBTZs2IAuXbogKioKFSpUKPA12b9/PywtLXHo0CHExsZi4MCBKF26NGbMmKHVdcgpJSUF8+fPx/fffw8TExO89957GDduHH744QeMGzcOkZGRSEpKwtq1awFAfZyWLVvCy8sL69aty/O4cXFxCAoKQvv27TFu3Dj19Txy5Aj69u2rUfb48eMYM2aMxr7g4GD88ssvr7wmtWvXRlpaGmrWrInQ0FCNGqnAwECsXLkSly9fRpUqVRAREYEjR45g4cKFGsdo2LAhZs+e/dL38fX1xfXr1/N9vlmzZrLVPuV0+vRp3L59GyYmJqhTpw7i4+NRu3ZtzJs3DzVr1gQAhIWFITs7G7dv30b16tXx5MkTBAYGYsGCBfDw8JD5DEoYA6g5YnJkbNjnqER4+vQpli1bhnXr1qFDhw4AgFWrViEsLAzfffcdxo8fry4bEhKCtm3bAgDWr1+P8uXLY/v27ejZsyccHBygUCjg5ub2yvccOHAgevbsCQD47LPPEBAQgC+++ELdLDFq1CgMHDhQXd7f3x/+/v7qx9OmTcP27duxY8cOjBw5ssDnqlQqsWbNGlhbW8PX1xdTp07F+PHjMW3aNKSmphb4OuSUkZGB5cuXw8fHBwAwcuRITJ06FYCUIFpZWSEtLS3XdalQocJLZ0t2c3ODmZkZbG1t1a99/PgxEhMTUbZsWY2y8fHxcHV11djn6uqq0X/oRe7u7li+fDnq16+PtLQ0rF69Gi1btsTff/+NunXrAgAmTJiApKQkVKtWDaampsjKysKMGTPw7rvvahyrbNmyuHnzJrKzs/OdFX7Xrl3IyMjINx7VRIlyu3btGgAgNDQUCxcuhJeXFxYsWICWLVvi8uXLKFWqFK5du4bs7GzMnDkTS5YsgYODAyZPnoy2bdvi3LlznOesOBlAh2wmR8aGNUevzdrcGskTk7V6zdn4s3nWFB0ZeAS13Wpr9d4FER0djYyMDI0aA3NzczRs2BCRkZEaZQMCAtT3S5UqhapVq+YqUxC1atVS31d9qfv5+Wnse/bsGZKSkmBvb4/k5GSEhoZi586diIuLQ2ZmJlJTU3Hjxg2t3tff31+j/1NAQACSk5Nx8+ZNJCYmFvg65GRtba1OjAAp6VAtFfEyGzZs0Cp2AEhNTQUAWFpaav3aF1WtWhVVq1ZVPw4MDER0dDQWLVqE77+X+rlt2bIFP/zwAzZu3AhfX1+cPXsWo0ePRtmyZdG/f3/1a62srJCdnY20tLR8kxxPT89Cx9qhQweEh4erj3PhwoVCH+tVVB3LJ02ahLfeegsAsHbtWpQvXx4//fQThg0bhuzsbGRkZGDp0qXqUYM//vgj3NzccPDgQfY9Kk4G0CGbyZExEYLJkQ4oFIoCN22pWJlLXy4mMEE2stW3VuZWWh9LX5mbm6vvqzo357VP9UU1btw4hIWFYf78+ahUqRKsrKzw9ttvIz09vRijzlvOuAEpdpFjNJculS5dGgqFAgmq383/uLm54e7duxr77t69W6BavJwaNmyII0eOqB+PHz8eEyZMwDvvvANASmCvX7+OWbNmaSRHjx49go2NzUtrf16nWW316tXqxPDF661rqtq8GjVqqPdZWFjA29tbnYznVcbZ2RllypTROmGn16SqOWKzGhWLJ0+A/5bCYLNa8XKxcYGbrRs87D0wuM5gfHfmO9xMugkXG5dXv7gQfHx8oFQqcfToUfV/9xkZGTh58iRGjx6tUfavv/5S9/FJSEjA5cuXUb16dQBSk5Vq+RRdO3r0KAYMGIBu3boBkPogxcbGan2ciIgIpKamqr/E//rrL9ja2sLDwwNlypQp8HXQhi6vi1KpRI0aNXDx4kWNeY4CAgKwf/9+jTjDwsI0avoK4uzZsxpNfSkpKbmayUxNTXMN2z9//jzq1Knz0mO/TrNauXLlXnpsXVJNDRAVFYWmTaUa3IyMDMTGxqo/F6raxaioKJQvXx6AlCA+ePDgtWrIqBBYc0TFSvWfqYUFoCd9AUqK8vblETsqFkpTJRQKBd6v9z7Ss9JhYWZRJO9nY2ODDz74AOPHj0epUqVQoUIFzJ07FykpKRg8eLBG2alTp6J06dJwdXXFpEmTUKZMGfX8L15eXkhOTsb+/fvVzVe6GsJfuXJlbNu2DV26dIFCocAXX3xRqHl10tPTMXjwYEyePBmxsbEICQnByJEjYWJiotV10IaXlxf++OMPREVFoXTp0nBwcIC5uTn69euHcuXKYdasWVodLzg4GEeOHNFIhEaNGoUWLVpgwYIF6NSpEzZt2oR//vkHK1euVJeZOHEibt++rW7OW7x4MSpWrAhfX188e/YMq1evxoEDB7B37171a7p06YIZM2agQoUK8PX1xZkzZ7Bw4UIMGjRII6bw8PBXTkpZFEnD1atXkZycjPj4eKSmpuLs2bMApBodVb+fixcvIj09HY8ePcKTJ0/UZVTzIp04cQL9+vXD/v37Ua5cOdjb22P48OEICQmBh4cHPD09MW/ePABAjx49AABVqlTBm2++iVGjRmHlypWwt7fHxIkTUa1aNbRq1Urn50kvYQAdsjmUX0t6PZT/zBlpeKSbm9yRGBRDHa6bmpoqPvroI1GmTJmXDmH/7bffhK+vr1AqlaJhw4YiIiJC4zjDhw8XpUuXfuVQ/u3bt6sfx8TECADizJkzud5PNcw8JiZGtGrVSlhZWQkPDw/x9ddfixYtWohRo0apX1PQofxffvmlKF26tLC1tRVDhw4Vz5490/o6vDiUP6ft27eLnH8O7927J9q2bStsbW01hvK3aNFC9O/fP994hRDC399ffR1VLly4IKysrMTjx4819m/ZskVUqVJFKJVK4evrK3bu3Jnr/Fu0aKF+PGfOHOHj4yMsLS1FqVKlRMuWLcWBAwc0XpOUlCRGjRolKlSoICwtLYW3t7eYNGmSxvQHt27dEubm5uLmzZsvPZei0KJFi1xTHgAQMTEx6jKenp55llFR/UxzviY9PV2MHTtWuLi4CDs7OxEUFCTOnz+v8d6JiYli0KBBwtHRUZQqVUp069ZN3LhxI99YDfVvg967elX6rrK1Lda31eb7WyFEETW0G6mkpCQ4ODggMTER9vb2coej6eBBoHVroHp14OJFuaMxGM+ePUNMTAwqVqyok06z+uLQoUNo1aoVEhIS8pwF2xAMGDAAjx8/LtDwdn3Xo0cP1K1bFxMnTpQ7FHz22WdISEjQqKWi3Iz1b4Ps4uKAsmUBExMgMxMopglatfn+5gzZxoTD+In01rx58146j1RxcnFxwbRp0+QOg0oqVYfs7GwgLU3eWPLBPkfGhCPViPSWl5cXPvroI7nDAACMHTtW7hCoJMvZJzYlBdDDWjkmR8aEyRHl0LJlyyIbnl5c8puJmogMmLm5tGVkSJ2y9bC1g81qxoTJERERGQI9nyWbyZExYZ8jIiIyBHo+1xGTI2PCmiMiIjIEej5LNpMjY8LkiIiIDAFrjqjYqJrVmBwREZE+0/NZspkcGRNVzRH7HJEOHDp0CAqFAo8fPwYgjRwz1MkkX5dCoXitiShDQ0PVS18U1KVLl9C4cWNYWlpq/VoivccO2VRs2KwmrywAhwD8+N9t0aznWmwCAwMRFxcHBwcHuUMpkUJCQmBjY4OoqCjs37+/RCenZIT0vOaI8xwZi+xs4L//8JkcyWAbgFEAbuXYVx7AEgDdZYnotSmVSri5uckdRoGkp6erFy01FtHR0ejUqRNXjCfjxJojKhaJiYBqwj8mR8VrG4C3oZkYAcDt//ZvK5q3zc7OxqxZs1CxYkVYWVnB398fP//8s/p5VbPYzp07UatWLVhaWqJx48Y4f/68usz169fRpUsXODk5wcbGBr6+vti1a5fG61XNanlZtmwZfHx8oFQqUbVqVXz//fcazysUCqxevRrdunWDtbU1KleujB07drzy3FatWgUPDw9YW1ujW7duWLhwoUatiaqZavXq1RrrXj1+/BhDhgyBs7Mz7O3t0bp1a0RERGgc+9dff0XdunVhaWkJb29vTJkyBZmZmernr1y5gubNm8PS0hI1atRAWFiYxutbt26NkSNHauy7f/8+lEol9u/f/8pzU1m9ejWqV68OS0tLVKtWDd9++63GdTt16hSmTp0KhUKBli1bYuDAgUhMTIRCoYBCoUBoaGiB34tI7+h5h2y8YmFaeoE2q/oWq+hoaZVja2u5IzE4uVbezhZCJBdwSxRClBNCIJ9NIYQo/1+5ghwvu+BxT58+XVSrVk3s2bNHREdHi7Vr1woLCwtx6NAhIcTzlcurV68u9u7dK86dOyc6d+4svLy8RHp6uhBCiE6dOom2bduKc+fOiejoaPHbb7+JP//8U+P1+a1mv23bNmFubi6++eYbERUVJRYsWCBMTU01VokHIMqXLy82btworly5Ij7++GNha2srHj58mO95HTlyRJiYmIh58+aJqKgo8c0334hSpUppvHdISIiwsbER7du3F6dPnxYRERFCCCGCgoJEly5dxMmTJ8Xly5fF2LFjRenSpdXvd/jwYWFvby/WrVsnoqOjxd69e4WXl5cIDQ0VQgiRlZUlatasKdq0aSPOnj0r/vzzT1GnTh0BQGzfvl0IIcQPP/wgnJycxLNnz9TxLFy4UHh5eYns7Lx/gCEhIcLf31/9+H//+59wd3cXW7duFdeuXRNbt24VpUqVEuvWrRNCCBEXFyd8fX3F2LFjRVxcnEhMTBSLFy8W9vb2Ii4uTsTFxYknT57kew1JN3L9bSDd+egj6Tvr88+L7S21+f5mcqQlvU2O/vlH+qCVKyd3JAYn1x/AZJF/slPUW3LBYn727JmwtrYWx44d09g/ePBg0bt3byHE8+Rm06ZN6ucfPnworKysxObNm4UQQvj5+akTgxe9KjkKDAwUQ4cO1XhNjx49RMeOHdWPAYjJkyerHycnJwsAYvfu3fmeW69evUSnTp009r377ru5kiNzc3Nx79499b7w8HBhb2+vkbQIIYSPj49YsWKFEEKINm3aiJkzZ2o8//333wt3d3chhBB//PGHMDMzE7dv31Y/v3v3bo3kKDU1VTg5OamvoRBC1KpVK9/rqIo3Z3Lk4+MjNm7cqFFm2rRpIiAgQP3Y399fhISEqB+/eP2p6DE5KkITJkjfWaNHF9tbavP9zWY1Y8Fh/CXK1atXkZKSgrZt28LW1la9bdiwAdHR0RplAwIC1PdLlSqFqlWrIjIyEgDw8ccfY/r06WjSpAlCQkJw7ty5AscQGRmJJk2aaOxr0qSJ+tgqtWrVUt+3sbGBvb097t27BwDw9fVVx96hQwcAQFRUFBo2bKhxjBcfA4CnpyecnZ3VjyMiIpCcnIzSpUtrXJOYmBj1NYmIiMDUqVM1nh86dCji4uKQkpKCyMhIeHh4oGzZsnlePwCwtLRE3759sWbNGgDA6dOncf78eQwYMKBA1+3p06eIjo7G4MGDNeKYPn16rp8dkdFih2wqFhzGrzvWAJILWPYwgI4FKLcLQPMCvncBJCdLAe7cuRPlypXTeM7CwqJgBwEwZMgQBAcHY+fOndi7dy9mzZqFBQsW6HT1eHNzc43HCoUC2dnZAIBdu3YhIyMDAGCVc6XuArBRdej8T3JyMtzd3XHo0KFcZVX9lZKTkzFlyhR07567l7ylFiuDDxkyBLVr18atW7ewdu1atG7dusAdp1U/u1WrVqFRo0Yaz5mamhY4BiKDpucdspkcGQsO49cdBQCbV5aStIM0Ku02AJHPscr/V06H33s1atSAhYUFbty4gRYtWry07F9//YUKFSoAABISEnD58mVUr15d/byHhweGDx+O4cOHY+LEiVi1alWBkqPq1avj6NGj6N+/v3rf0aNHUaNGjQKfR14JRdWqVXHy5EmNfS8+zkvdunURHx8PMzMzeHl55VsmKioKlSpVyvP56tWr4+bNm4iLi4O7uzsA6fq9yM/PD/Xr18eqVauwceNGfP3116+MT8XV1RVly5bFtWvX8O677xb4dUqlEllZBj4/BJGKnnfIZnJkLJgcycMU0nD9tyElQjkTJMV/t4uh08QIAOzs7DBu3Dh88sknyM7ORtOmTZGYmIijR4/C3t5eI2GZOnUqSpcuDVdXV0yaNAllypRB165dAQCjR49Ghw4dUKVKFSQkJODgwYMaidPLjB8/Hj179kSdOnUQFBSE3377Ddu2bcO+ffte69w++ugjNG/eHAsXLkSXLl1w4MAB7N69GwqF4qWvCwoKQkBAALp27Yq5c+eiSpUquHPnDnbu3Ilu3bqhfv36+PLLL9G5c2dUqFABb7/9NkxMTBAREYHz589j+vTpCAoKQpUqVdC/f3/MmzcPSUlJmDRpUp7vN2TIEIwcORI2Njbo1q2bVuc4ZcoUfPzxx3BwcED79u2RlpaGf/75BwkJCRgzZkyer/Hy8kJycjL2798Pf39/WFtbw9q6gFWNRPqGa6tRsWCfI/l0B/AzgHIv7C//3/4imudo2rRp+OKLLzBr1ixUr14d7du3x86dO1GxYkWNcrNnz8aoUaNQr149xMfH47ffflPPCZSVlYURI0aoX1+lShWNIeUv07VrVyxZsgTz58+Hr68vVqxYgbVr16Jly5avdV5NmjTB8uXLsXDhQvj7+2PPnj345JNPXtnspVAosGvXLjRv3hwDBw5ElSpV8M477+D69etwdXUFAAQHB+P333/H3r170aBBAzRu3BiLFi1S12CZmJhg+/btSE1NRcOGDTFkyBDMmDEjz/fr3bs3zMzM0Lt3b62a5AApsVq9ejXWrl0LPz8/tGjRAuvWrcv1s8spMDAQw4cPR69eveDs7Iy5c+dq9Z5EekXPa44UQoi8GgMoH0lJSXBwcEBiYiLs7e3lDue5oUOB1auBadOAyZPljsagPHv2DDExMRrz5RRKFoBwAHEA3AE0g85rjLRx6NAhtGrVCgkJCQY/s/LQoUNx6dIlhIeHyx2KWmxsLHx8fHDy5EnUrVtX7nCoCOjsbwPltns30LEjUKcOcPp0sbylNt/fbFYzFmxWk58pgJZyB2Ec5s+fj7Zt28LGxga7d+/G+vXrC1yjVdQyMjLw8OFDTJ48GY0bN2ZiRFQY7JBNxYLNamRETpw4gblz5+LJkyfw9vbG0qVLMWTIELnDAiB1Om/VqhWqVKmiMSM5EWlBz5vVmBwZC9Yc0QtatmwJQ20137Jli9wh5MuQryuR3mCHbCoWnOeIiIgMhZ7XHDE5MhasOSIiIkOhSo6ePQP0cP4uJkfGIDMTSEqS7jM5IiIifZdzhvvUVPniyAeTI2Pw+PHz+0yOiIhI3+WcGkEPm9aYHBkDVZOanR1gxj72RESk50xM9HrxWSZHxoD9jYiIyNDocadsJkfGgHMcURE4dOgQFAoFHv/XbLtu3TqDn2m7sBQKBX755RedH7dly5YYPXq0XsRCVOz0uOaIbTDGgMP49UJWFhAeDsTFAe7uQLNmgKmMy4e8rsDAQMTFxcHBwUHuUIzWtm3bYG5urtNjGtOyMWTk9HiWbCZHxoDNarLbtg0YNQq4dev5vvLlgSVLgO5FtPBsUVMqlXBzc5M7jAJJT09XL6ZrCFTxluI/NFSSsVmNihSb1WS1bRvw9tuaiREA3L4t7d+2rWjeNzs7G7NmzULFihVhZWUFf39/jeUsVM1iO3fuRK1atWBpaYnGjRvj/Pnz6jLXr19Hly5d4OTkBBsbG/j6+mLXrl0ar3+cczTkC5YtWwYfHx8olUpUrVoV33//vcbzCoUCq1evRrdu3WBtbY3KlStjx44drzy3VatWwcPDA9bW1ujWrRsWLlyoUQsSGhqK2rVrY/Xq1RqLgj5+/BhDhgyBs7Mz7O3t0bp1a0RERGgc+9dff0XdunVhaWkJb29vTJkyBZmZmernr1y5gubNm8PS0hI1atRAWFiYxutbt26NkSNHauy7f/8+lEol9u/fn+f55Bfvi81qcXFx6NSpE6ysrFCxYkVs3LgRXl5eWLx4scbxHjx4kOc1jY2NRatWrQAATk5OUCgUGDBgwMsvNpFc9HiWbCZHxoA1RzolhPS7WpAtKQn4+GPpNXkdB5BqlJKSCnY8bValmDVrFjZs2IDly5fjwoUL+OSTT/Dee+/hzz//1Cg3fvx4LFiwACdPnoSzszO6dOmCjIwMAMCIESOQlpaGw4cP499//8WcOXNga2tboPffvn07Ro0ahbFjx+L8+fMYNmwYBg4ciIMHD2qUmzJlCnr27Ilz586hY8eOePfdd/FIldDn4ejRoxg+fDhGjRqFs2fPom3btpgxY0auclevXsXWrVuxbds2nD17FgDQo0cP3Lt3D7t378apU6dQt25dtGnTRv1+4eHh6NevH0aNGoWLFy9ixYoVWLdunfr42dnZ6N69O5RKJf7++28sX74cn332mcb7DhkyBBs3bkRaWpp63//+9z+UK1cOrVu3zve88or3Rf369cOdO3dw6NAhbN26FStXrsS9e/dylcvvmnp4eGDr1q0AgKioKMTFxWHJkiX5xkQkKz2uOYIgrSQmJgoAIjExUe5Qnhs4UAhAiJkz5Y7EIKWmpoqLFy+K1NRUIYQQycnS5ZRjS04uWMzPnj0T1tbW4tixYxr7Bw8eLHr37i2EEOLgwYMCgNi0aZP6+YcPHworKyuxefNmIYQQfn5+IjQ0NM/3UL0+ISFBCCHE2rVrhYODg/r5wMBAMXToUI3X9OjRQ3Ts2FH9GICYPHmy+nFycrIAIHbv3p3vufXq1Ut06tRJY9+7776r8d4hISHC3Nxc3Lt3T70vPDxc2Nvbi2fPnmm81sfHR6xYsUIIIUSbNm3EzBd+T77//nvh7u4uhBDijz/+EGZmZuL27dvq53fv3i0AiO3btwshpM+Lk5OT+hoKIUStWrXyvY75xSuEEC1atBCjRo0SQggRGRkpAIiTJ0+qn79y5YoAIBYtWqTe96pr+uLPjQrvxb8NpGPdu0t/+L75pljeTpvvb4OpOZoxYwYCAwNhbW2dbyfDGzduoFOnTrC2toaLiwvGjx+vUV0OSE0FdevWhYWFBSpVqoR169YVffBFjTVHJc7Vq1eRkpKCtm3bwtbWVr1t2LAB0dHRGmUDAgLU90uVKoWqVasiMjISAPDxxx9j+vTpaNKkCUJCQnDu3LkCxxAZGYkmTZpo7GvSpIn62Cq1atVS37exsYG9vb26NsTX11cde4cOHQBINR4NGzbUOMaLjwHA09MTzs7O6scRERFITk5G6dKlNa5JTEyM+ppERERg6tSpGs8PHToUcXFxSElJQWRkJDw8PFC2bNk8rx8AWFpaom/fvlizZg0A4PTp0zh//vwrm69ejPdFUVFRMDMzQ926ddX7KlWqBKc8fq9fdk2JDAY7ZL++9PR09OjRAwEBAfjuu+9yPZ+VlYVOnTrBzc0Nx44dQ1xcHPr16wdzc3PMnDkTABATE4NOnTph+PDh+OGHH7B//34MGTIE7u7uCA4OLu5T0h32OdIpa2sgOblgZQ8fBjp2fHW5XbuA5s0L9t4FkfxfgDt37kS5cuU0nrOwsCjYQSA1EQUHB2Pnzp3Yu3cvZs2ahQULFuCjjz4q8DFe5cXRWAqFAtnZ2QCAXbt2qZv4rKystDquTc7lByBdE3d3dxw6dChXWdU/VMnJyZgyZQq659FL3jLnjL2vMGTIENSuXRu3bt3C2rVr0bp1a3h6emoV7+t42TUlMhh63KxmMMnRlClTACDfmp69e/fi4sWL2LdvH1xdXVG7dm1MmzYNn332GUJDQ6FUKrF8+XJUrFgRCxYsAABUr14dR44cwaJFiww7OWLNkU4pFJrL/rxMu3bSqLTbt/PuL6RQSM+3a6fbYf01atSAhYUFbty4gRYtWry07F9//YUKFSoAABISEnD58mVUr15d/byHhweGDx+O4cOHY+LEiVi1alWBkqPq1avj6NGj6N+/v3rf0aNHUaNGjQKfR14JRdWqVXHy5EmNfS8+zkvdunURHx8PMzMzeHl55VsmKioKlSpVyvP56tWr4+bNm4iLi4O7uzsA6fq9yM/PD/Xr18eqVauwceNGfP3116+M71WqVq2KzMxMnDlzBvXq1QMg1RAmqH6/C0g1ai9LDxfzJNKgxx2yDSY5epXjx4/Dz88Prq6u6n3BwcH44IMPcOHCBdSpUwfHjx9HUFCQxuuCg4NfOglbWlqaRsfLJNUCr/qE8xzJxtRUGq7/9ttSIpQzQVIopNvFi3U/35GdnR3GjRuHTz75BNnZ2WjatCkSExNx9OhR2NvbayQsU6dORenSpeHq6opJkyahTJky6Nq1KwBg9OjR6NChA6pUqYKEhAQcPHhQI3F6mfHjx6Nnz56oU6cOgoKC8Ntvv2Hbtm3Yt2/fa53bRx99hObNm2PhwoXo0qULDhw4gN27d0OhuqD5CAoKQkBAALp27Yq5c+eiSpUquHPnDnbu3Ilu3bqhfv36+PLLL9G5c2dUqFABb7/9NkxMTBAREYHz589j+vTpCAoKQpUqVdC/f3/MmzcPSUlJmDRpUp7vN2TIEIwcORI2Njbo1q3ba50zAFSrVg1BQUF4//33sWzZMpibm2Ps2LGwsrJ65bnn5OnpCYVCgd9//x0dO3aElZVVgTvZExUrPa45Mpg+R68SHx+vkRgBUD+Oj49/aZmkpCSk5rMq8KxZs+Dg4KDePDw8iiD618RmNVl17w78/DPwQusWypeX9hfVPEfTpk3DF198gVmzZqF69epo3749du7ciYoVK2qUmz17NkaNGoV69eohPj4ev/32m0btwogRI9Svr1KlCr799tsCvX/Xrl2xZMkSzJ8/H76+vlixYgXWrl2Lli1bvtZ5NWnSBMuXL8fChQvh7++PPXv24JNPPnlls5dCocCuXbvQvHlzDBw4EFWqVME777yD69evq3/vg4OD8fvvv2Pv3r1o0KABGjdujEWLFqlrsExMTLB9+3akpqaiYcOGGDJkSJ4j5QCgd+/eMDMzQ+/evbVqknuZDRs2wNXVFc2bN0e3bt0wdOhQ2NnZaXX8cuXKYcqUKZgwYQJcXV1zTTtApDf0uOZI1tFqn332mQDw0i0yMlLjNS+OmFEZOnSoaNeunca+p0+fCgBi165dQgghKleunGukys6dOwUAkZKSkmeMz549E4mJiert5s2b+jVaLS3t+VCnhw/ljsYg6WpESmamEAcPCrFxo3SbmamT8ArNmEYtDRkyRDRt2lTuMDTExMQIExMTcerUqSJ7D9Xfm3379hXZe1D+OFqtiC1ZIn139epVLG+nzWg1WZvVxo4d+8oRHt7e3gU6lpubG06cOKGx7+7du+rnVLeqfTnL2Nvb59sZ1MLCQqsOrsVO1aSmUABc5kFWpqbAa1aa0H/mz5+Ptm3bwsbGBrt378b69esLXKNV1DIyMvDw4UNMnjwZjRs31hhd9roOHDiA5ORk+Pn5IS4uDp9++im8vLzQvCC9+YkMjR43q8maHDk7O790aKs2AgICMGPGDNy7dw8uLi4AgLCwMNjb26s7iAYEBKhn/1UJCwvLNVTXoKiSIwcHw17IiyiHEydOYO7cuXjy5Am8vb2xdOlSDBkyRO6wAEidzlu1aoUqVapozEiuCxkZGfj8889x7do12NnZITAwED/88IPO118j0gt63KxmMB2yb9y4gUePHuHGjRvIyspSzzBbqVIl2Nraol27dqhRowb69u2LuXPnIj4+HpMnT8aIESPUNT/Dhw/H119/jU8//RSDBg3CgQMHsGXLFuzcuVPGM3tN7G9E+WjZsiWENlNu65EtW7bIHUK+ivK6BgcHG/bIWSJtsObo9X355ZdYv369+nGdOnUAAAcPHkTLli1hamqK33//HR988AECAgJgY2OD/v37Y+rUqerXVKxYETt37sQnn3yCJUuWoHz58li9erVh/zHiMH4iIjJErDl6fevWrXvlbNaenp65ms1e1LJlS5w5c0aHkcmMw/iJiMgQ6XHNkdEM5S+x2KymM4baBEVERYN/E4oYkyMqMmxWe22m/3VkT09PlzkSItInKf99abNDfBFhsxoVmcePpdt8FuOlVzMzM4O1tTXu378Pc3NzmJjwfwaikkwIgZSUFNy7dw+Ojo7qf6BIx/S45ojJkaFTZdxcHqDQFAoF3N3dERMTg+vXr8sdDhHpCUdHR/U8eVQEVDVHmZlAejrw38z9+oDJkaFTZdw6XPG7JFIqlahcuTKb1ogIgNSUxhqjIqaqOQKk7zImR6QzquQo54eMCsXExERna2QREdErmJtLkxdnZUnfZXrUPYSdKwydqlmNyRERERkShUJvO2UzOTJ0bFYjIiJDpaedspkcGTo2qxERkaFSLfquZ8kR+xxpSTUpWFJSksyR/OfJE+lWCEBfYiIiIioI1dQpSUlF/h2m+t4uyOSeCsEpQLVy69YteHh4yB0GERERFcLNmzdRvnz5l5ZhcqSl7Oxs3LlzB3Z2dlAoFIU+TlJSEjw8PHDz5k3Y29vrMELKC6938eL1Ll683sWL17t46ep6CyHw5MkTlC1b9pWT/bJZTUsmJiavzDi1YW9vz1+uYsTrXbx4vYsXr3fx4vUuXrq43g4ODgUqxw7ZRERERDkwOSIiIiLKgcmRTCwsLBASEgILCwu5QykReL2LF6938eL1Ll683sVLjuvNDtlEREREObDmiIiIiCgHJkdEREREOTA5IiIiIsqByRERERFRDkyOitA333wDLy8vWFpaolGjRjhx4sRLy//000+oVq0aLC0t4efnh127dhVTpMZBm+u9atUqNGvWDE5OTnByckJQUNArfz6kSdvPt8qmTZugUCjQtWvXog3QyGh7vR8/fowRI0bA3d0dFhYWqFKlCv+maEHb67148WJUrVoVVlZW8PDwwCeffIJnz54VU7SG7fDhw+jSpQvKli0LhUKBX3755ZWvOXToEOrWrQsLCwtUqlQJ69at021QgorEpk2bhFKpFGvWrBEXLlwQQ4cOFY6OjuLu3bt5lj969KgwNTUVc+fOFRcvXhSTJ08W5ubm4t9//y3myA2Ttte7T58+4ptvvhFnzpwRkZGRYsCAAcLBwUHcunWrmCM3TNpeb5WYmBhRrlw50axZM/Hmm28WT7BGQNvrnZaWJurXry86duwojhw5ImJiYsShQ4fE2bNnizlyw6Tt9f7hhx+EhYWF+OGHH0RMTIz4448/hLu7u/jkk0+KOXLDtGvXLjFp0iSxbds2AUBs3779peWvXbsmrK2txZgxY8TFixfFV199JUxNTcWePXt0FhOToyLSsGFDMWLECPXjrKwsUbZsWTFr1qw8y/fs2VN06tRJY1+jRo3EsGHDijROY6Ht9X5RZmamsLOzE+vXry+qEI1KYa53ZmamCAwMFKtXrxb9+/dncqQFba/3smXLhLe3t0hPTy+uEI2Kttd7xIgRonXr1hr7xowZI5o0aVKkcRqjgiRHn376qfD19dXY16tXLxEcHKyzONisVgTS09Nx6tQpBAUFqfeZmJggKCgIx48fz/M1x48f1ygPAMHBwfmWp+cKc71flJKSgoyMDJQqVaqowjQahb3eU6dOhYuLCwYPHlwcYRqNwlzvHTt2ICAgACNGjICrqytq1qyJmTNnIisrq7jCNliFud6BgYE4deqUuunt2rVr2LVrFzp27FgsMZc0xfF9yYVni8CDBw+QlZUFV1dXjf2urq64dOlSnq+Jj4/Ps3x8fHyRxWksCnO9X/TZZ5+hbNmyuX7hKLfCXO8jR47gu+++w9mzZ4shQuNSmOt97do1HDhwAO+++y527dqFq1ev4sMPP0RGRgZCQkKKI2yDVZjr3adPHzx48ABNmzaFEAKZmZkYPnw4Pv/88+IIucTJ7/syKSkJqampsLKyeu33YM0RlXizZ8/Gpk2bsH37dlhaWsodjtF58uQJ+vbti1WrVqFMmTJyh1MiZGdnw8XFBStXrkS9evXQq1cvTJo0CcuXL5c7NKN06NAhzJw5E99++y1Onz6Nbdu2YefOnZg2bZrcoVEhseaoCJQpUwampqa4e/euxv67d+/Czc0tz9e4ublpVZ6eK8z1Vpk/fz5mz56Nffv2oVatWkUZptHQ9npHR0cjNjYWXbp0Ue/Lzs4GAJiZmSEqKgo+Pj5FG7QBK8zn293dHebm5jA1NVXvq169OuLj45Geng6lUlmkMRuywlzvL774An379sWQIUMAAH5+fnj69Cnef/99TJo0CSYmrIfQpfy+L+3t7XVSawSw5qhIKJVK1KtXD/v371fvy87Oxv79+xEQEJDnawICAjTKA0BYWFi+5em5wlxvAJg7dy6mTZuGPXv2oH79+sURqlHQ9npXq1YN//77L86ePave3njjDbRq1Qpnz56Fh4dHcYZvcArz+W7SpAmuXr2qTkIB4PLly3B3d2di9AqFud4pKSm5EiBVYiq4fKnOFcv3pc66dpOGTZs2CQsLC7Fu3Tpx8eJF8f777wtHR0cRHx8vhBCib9++YsKECeryR48eFWZmZmL+/PkiMjJShISEcCi/FrS93rNnzxZKpVL8/PPPIi4uTr09efJErlMwKNpe7xdxtJp2tL3eN27cEHZ2dmLkyJEiKipK/P7778LFxUVMnz5drlMwKNpe75CQEGFnZyd+/PFHce3aNbF3717h4+MjevbsKdcpGJQnT56IM2fOiDNnzggAYuHCheLMmTPi+vXrQgghJkyYIPr27asurxrKP378eBEZGSm++eYbDuU3JF999ZWoUKGCUCqVomHDhuKvv/5SP9eiRQvRv39/jfJbtmwRVapUEUqlUvj6+oqdO3cWc8SGTZvr7enpKQDk2kJCQoo/cAOl7ec7JyZH2tP2eh87dkw0atRIWFhYCG9vbzFjxgyRmZlZzFEbLm2ud0ZGhggNDRU+Pj7C0tJSeHh4iA8//FAkJCQUf+AG6ODBg3n+PVZd4/79+4sWLVrkek3t2rWFUqkU3t7eYu3atTqNSSEE6/yIiIiIVNjniIiIiCgHJkdEREREOTA5IiIiIsqByRERERFRDkyOiIiIiHJgckRERESUA5MjIiIiohyYHBEZiQEDBqBr166vdYzY2FgoFAqcPXs23zKHDh2CQqHA48ePAQDr1q2Do6Oj+vnQ0FDUrl37teIorPj4eLRt2xY2NjYaMb1KQc5bn7Rs2RKjR4+WOwwAhfvceXl5YfHixUUSD5EuMDkiKmYDBgyAQqGAQqGAUqlEpUqVMHXqVGRmZsodWoEEBgYiLi4ODg4OeT4/btw4jXWPdJG0FdSiRYsQFxeHs2fP4vLly3mWKc54XteLiajKtm3binzFd1XC+CpLlizBunXriuS9X0xWQ0NDMWDAAJ2+F1FezOQOgKgkat++PdauXYu0tDTs2rULI0aMgLm5OSZOnJirrL6toq5UKvNdnRwAbG1tYWtrW4wRPRcdHY169eqhcuXKsrx/cSlVqpTcISArKwsKhSLfJJnIkLHmiEgGFhYWcHNzg6enJz744AMEBQVhx44dAJ7XbMyYMQNly5ZF1apVAQD//vsvWrduDSsrK5QuXRrvv/8+kpOTcx17ypQpcHZ2hr29PYYPH4709HT1c3v27EHTpk3h6OiI0qVLo3PnzoiOjs51jEuXLiEwMBCWlpaoWbMm/vzzT/Vz+dVmqORsVgsNDcX69evx66+/qmvLDh06hNatW2PkyJEar7t//z6USmWu1bZzWrZsGXx8fKBUKlG1alV8//336ue8vLywdetWbNiwAQqFIs8ahvziUbl27RpatWoFa2tr+Pv74/jx4xqvP3LkCJo1awYrKyt4eHjg448/xtOnT/ONNzo6Gm+++SZcXV1ha2uLBg0aYN++fRpl0tLS8Nlnn8HDwwMWFhaoVKkSvvvuO8TGxqJVq1YAACcnJ41zerFZLSEhAf369YOTkxOsra3RoUMHXLlyRf28qunzjz/+QPXq1WFra4v27dsjLi4u39hfpDrGjh07UKNGDVhYWODGjRu5auKePHmCd999FzY2NnB3d8eiRYvybAZMSUnBoEGDYGdnhwoVKmDlypXq5ypWrAgAqFOnDhQKBVq2bFngOIl0gckRkR6wsrLSSGL279+PqKgohIWF4ffff8fTp08RHBwMJycnnDx5Ej/99BP27duXK8HYv38/IiMjcejQIfz444/Ytm0bpkyZon7+6dOnGDNmDP755x/s378fJiYm6NatG7KzszWOM378eIwdOxZnzpxBQEAAunTpgocPH2p9XuPGjUPPnj3VX8RxcXEIDAzEkCFDsHHjRqSlpanL/u9//0O5cuXQunXrPI+1fft2jBo1CmPHjsX58+cxbNgwDBw4EAcPHgQAnDx5Eu3bt0fPnj0RFxeHJUuWFDgelUmTJmHcuHE4e/YsqlSpgt69e6ubO6Ojo9G+fXu89dZbOHfuHDZv3owjR47k+hnklJycjI4dO2L//v04c+YM2rdvjy5duuDGjRvqMv369cOPP/6IpUuXIjIyEitWrICtrS08PDywdetWAEBUVFS+5wRICfU///yDHTt24Pjx4xBCoGPHjsjIyFCXSUlJwfz58/H999/j8OHDuHHjBsaNG5dv7HlJSUnBnDlzsHr1aly4cAEuLi65yowZMwZHjx7Fjh07EBYWhvDwcJw+fTpXuQULFqB+/fo4c+YMPvzwQ3zwwQeIiooCAJw4cQIAsG/fPsTFxWHbtm1axUn02nS6jC0RvVLOFemzs7NFWFiYsLCwEOPGjVM/7+rqKtLS0tSvWblypXBychLJycnqfTt37hQmJiYiPj5e/bpSpUqJp0+fqsssW7ZM2NraiqysrDxjuX//vgAg/v33XyGEEDExMQKAmD17trpMRkaGKF++vJgzZ44Q4vkK2qoVx9euXSscHBzU5UNCQoS/v3+e56uSmpoqnJycxObNm9X7atWqJUJDQ/O9boGBgWLo0KEa+3r06CE6duyofvzmm2/mWp3+RXnFozrv1atXq/dduHBBABCRkZFCCCEGDx4s3n//fY3XhYeHCxMTE5GamvrS98zJ19dXfPXVV0IIIaKiogQAERYWlmfZF6+1SosWLcSoUaOEEEJcvnxZABBHjx5VP//gwQNhZWUltmzZIoSQfkYAxNWrV9VlvvnmG+Hq6lrguFXHOHv2rMb+nNczKSlJmJubi59++kn9/OPHj4W1tbU6XiGE8PT0FO+99576cXZ2tnBxcRHLli0TQjz/eZw5c6bA8RHpEmuOiGTw+++/w9bWFpaWlujQoQN69eqF0NBQ9fN+fn4a/YwiIyPh7+8PGxsb9b4mTZogOztb/d82APj7+8Pa2lr9OCAgAMnJybh58yYA4MqVK+jduze8vb1hb28PLy8vANCoyVC9TsXMzAz169dHZGSkTs4dACwtLdG3b1+sWbMGAHD69GmcP3/+pZ1tIyMj0aRJE419TZo00WlctWrVUt93d3cHANy7dw8AEBERgXXr1qn7VNna2iI4OBjZ2dmIiYnJ83jJyckYN24cqlevDkdHR9ja2iIyMlJ9vc+ePQtTU1O0aNGi0DFHRkbCzMwMjRo1Uu8rXbo0qlatqnFtrK2t4ePjo3F+qnMrKKVSqXGNXnTt2jVkZGSgYcOG6n0ODg7qpuGcch5HoVDAzc1N63iIigo7ZBPJoFWrVli2bBmUSiXKli0LMzPNX8WcSZAudenSBZ6enli1ahXKli2L7Oxs1KxZU6NJr7gMGTIEtWvXxq1bt7B27Vq0bt0anp6exR5HTubm5ur7qpFaqibH5ORkDBs2DB9//HGu11WoUCHP440bNw5hYWGYP38+KlWqBCsrK7z99tvq621lZaXrU8hXznMDpPMTQmh1DCsrqwKNYCtsPC827xLJhTVHRDKwsbFBpUqVUKFChVyJUV6qV6+OiIgIjc6/R48ehYmJicZ/5REREUhNTVU//uuvv9T9Vx4+fIioqChMnjwZbdq0QfXq1ZGQkJDn+/3111/q+5mZmTh16hSqV69emFOFUqlEVlZWrv1+fn6oX78+Vq1ahY0bN2LQoEEvPU716tVx9OhRjX1Hjx5FjRo1dBLPq9StWxcXL15EpUqVcm35jSY8evQoBgwYgG7dusHPzw9ubm6IjY1VP+/n54fs7GyNDu8vxgrgpfFWr14dmZmZ+Pvvv9X7VD9rba/N6/L29oa5uTlOnjyp3peYmJjvtAr5Kch5ExUlJkdEBuDdd9+FpaUl+vfvj/Pnz+PgwYP46KOP0LdvX7i6uqrLpaenY/Dgwbh48SJ27dqFkJAQjBw5EiYmJnByckLp0qWxcuVKXL16FQcOHMCYMWPyfL9vvvkG27dvx6VLlzBixAgkJCS8MnnJj5eXF86dO4eoqCg8ePBAo5PwkCFDMHv2bAgh0K1bt5ceZ/z48Vi3bh2WLVuGK1euYOHChdi2bZvWnYpfFs/LfPbZZzh27BhGjhyJs2fP4sqVK/j1119f2iG7cuXK2LZtG86ePYuIiAj06dNHo3bEy8sL/fv3x6BBg/DLL78gJiYGhw4dwpYtWwAAnp6eUCgU+P3333H//v08RydWrlwZb775JoYOHYojR44gIiIC7733HsqVK4c333xTq2vzuuzs7NC/f3+MHz8eBw8exIULFzB48GCYmJhoVePk4uICKysr7NmzB3fv3kViYmIRRk2UG5MjIgNgbW2NP/74A48ePUKDBg3w9ttvo02bNvj66681yrVp0waVK1dG8+bN0atXL7zxxhvqvkwmJibYtGkTTp06hZo1a+KTTz7BvHnz8ny/2bNnY/bs2fD398eRI0ewY8cOlClTplCxDx06FFWrVkX9+vXh7OysUfvTu3dvmJmZoXfv3rC0tHzpcbp27YolS5Zg/vz58PX1xYoVK7B27Vqth3m/LJ6XqVWrFv78809cvnwZzZo1Q506dfDll1+ibNmy+b5m4cKFcHJyQmBgILp06YLg4GDUrVtXo8yyZcvw9ttv48MPP0S1atUwdOhQdQ1huXLlMGXKFEyYMAGurq75JmJr165FvXr10LlzZwQEBEAIgV27duVquioOCxcuREBAADp37oygoCA0adIE1atXf+XPNyczMzMsXboUK1asQNmyZYs9ySNSCG0bnYmIdCQ2NhY+Pj44efJkrqSBjMPTp09Rrlw5LFiwAIMHD5Y7HKICYYdsIip2GRkZePjwISZPnozGjRszMTIiZ86cwaVLl9CwYUMkJiZi6tSpAMDaHzIoTI6IqNgdPXoUrVq1QpUqVfDzzz/LHQ7p2Pz58xEVFQWlUol69eohPDy80M2yRHJgsxoRERFRDuyQTURERJQDkyMiIiKiHJgcEREREeXA5IiIiIgoByZHRERERDkwOSIiIiLKgckRERERUQ5MjoiIiIhyYHJERERElMP/Aep/V41KdkZaAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "example_13_1()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def trial(num_episodes, agent_generator):\n",
    "    env = ShortCorridor()\n",
    "    agent = agent_generator()\n",
    "\n",
    "    rewards = np.zeros(num_episodes)\n",
    "    for episode_idx in range(num_episodes):\n",
    "        rewards_sum = 0\n",
    "        reward = None\n",
    "        env.reset()\n",
    "\n",
    "        while True:\n",
    "            go_right = agent.choose_action(reward)\n",
    "            reward, episode_end = env.step(go_right)\n",
    "            rewards_sum += reward\n",
    "\n",
    "            if episode_end:\n",
    "                agent.episode_end(reward)\n",
    "                break\n",
    "\n",
    "        rewards[episode_idx] = rewards_sum\n",
    "\n",
    "    return rewards\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def figure_13_1():\n",
    "    num_trials = 100\n",
    "    num_episodes = 1000\n",
    "    gamma = 1\n",
    "    agent_generators = [lambda : ReinforceAgent(alpha=2e-4, gamma=gamma),\n",
    "                        lambda : ReinforceAgent(alpha=2e-5, gamma=gamma),\n",
    "                        lambda : ReinforceAgent(alpha=2e-3, gamma=gamma)]\n",
    "    labels = ['alpha = 2e-4',\n",
    "              'alpha = 2e-5',\n",
    "              'alpha = 2e-3']\n",
    "\n",
    "    rewards = np.zeros((len(agent_generators), num_trials, num_episodes))\n",
    "\n",
    "    for agent_index, agent_generator in enumerate(agent_generators):\n",
    "        for i in tqdm(range(num_trials)):\n",
    "            reward = trial(num_episodes, agent_generator)\n",
    "            rewards[agent_index, i, :] = reward\n",
    "\n",
    "    plt.plot(np.arange(num_episodes) + 1, -11.6 * np.ones(num_episodes), ls='dashed', color='red', label='-11.6')\n",
    "    for i, label in enumerate(labels):\n",
    "        plt.plot(np.arange(num_episodes) + 1, rewards[i].mean(axis=0), label=label)\n",
    "    plt.ylabel('total reward on episode')\n",
    "    plt.xlabel('episode')\n",
    "    plt.legend(loc='lower right')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [02:29<00:00,  1.50s/it]\n",
      "100%|██████████| 100/100 [06:00<00:00,  3.61s/it]\n",
      "100%|██████████| 100/100 [04:00<00:00,  2.40s/it]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure_13_1()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "class ReinforceBaselineAgent(ReinforceAgent):\n",
    "    def __init__(self, alpha, gamma, alpha_w):\n",
    "        super(ReinforceBaselineAgent, self).__init__(alpha, gamma)\n",
    "        self.alpha_w = alpha_w\n",
    "        self.w = 0\n",
    "\n",
    "    def episode_end(self, last_reward):\n",
    "        self.rewards.append(last_reward)\n",
    "\n",
    "        # learn theta\n",
    "        G = np.zeros(len(self.rewards))\n",
    "        G[-1] = self.rewards[-1]\n",
    "        for i in range(2, len(G) + 1):\n",
    "            G[-i] = self.gamma * G[-i + 1] + self.rewards[-i]\n",
    "        \n",
    "        gamma_pow = 1\n",
    "        for i in range(len(G)):\n",
    "            self.w += self.alpha_w * gamma_pow * (G[i] - self.w)\n",
    "\n",
    "            j = 1 if self.actions[i] else 0\n",
    "            pmf = self.get_pi()\n",
    "            grad_ln_pi = self.x[:, j] - np.dot(self.x, pmf)\n",
    "            update = self.alpha  * gamma_pow * (G[i] - self.w) * grad_ln_pi\n",
    "\n",
    "            self.theta += update\n",
    "            gamma_pow *= self.gamma\n",
    "        \n",
    "        self.rewards = []\n",
    "        self.actions = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def figure_13_2():\n",
    "    num_trials = 100\n",
    "    num_episodes = 1000\n",
    "    alpha = 2e-4\n",
    "    gamma = 1\n",
    "    agent_generators = [lambda : ReinforceAgent(alpha=alpha, gamma=gamma),\n",
    "                        lambda : ReinforceBaselineAgent(alpha=alpha*10, gamma=gamma, alpha_w=alpha*100)]\n",
    "    labels = ['Reinforce without baseline',\n",
    "              'Reinforce with baseline']\n",
    "\n",
    "    rewards = np.zeros((len(agent_generators), num_trials, num_episodes))\n",
    "\n",
    "    for agent_index, agent_generator in enumerate(agent_generators):\n",
    "        for i in tqdm(range(num_trials)):\n",
    "            reward = trial(num_episodes, agent_generator)\n",
    "            rewards[agent_index, i, :] = reward\n",
    "\n",
    "    plt.plot(np.arange(num_episodes) + 1, -11.6 * np.ones(num_episodes), ls='dashed', color='red', label='-11.6')\n",
    "    for i, label in enumerate(labels):\n",
    "        plt.plot(np.arange(num_episodes) + 1, rewards[i].mean(axis=0), label=label)\n",
    "    plt.ylabel('total reward on episode')\n",
    "    plt.xlabel('episode')\n",
    "    plt.legend(loc='lower right')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [02:23<00:00,  1.44s/it]\n",
      "100%|██████████| 100/100 [01:55<00:00,  1.15s/it]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure_13_2()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
